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SAT Math Flashcards: Linear And Exponential Growth

Study Linear And Exponential Growth in SAT Math with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

← Back to flashcard decks

What this deck covers

This deck focuses on Linear And Exponential Growth, giving you a quick way to review the definitions, rules, and examples that matter most for SAT Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

SAT Math Flashcards: Linear And Exponential Growth

/ 30

0 reviewed

0% Complete

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QUESTION

Find $y$ when $x = 0$ in $y = 4 \times 10^x$ .

Tap or drag to reveal answer

ANSWER

When $x = 0$ : $y = 4 \times 10^0 = 4 \times 1 = 4$ .

Swipe Right = I Know It! 🎉

Swipe Left = Still Learning

All flashcards

Flashcard 1: Find $y$ when $x = 0$ in $y = 4 \times 10^x$ .

Answer:

When $x = 0$ : $y = 4 \times 10^0 = 4 \times 1 = 4$ .

Flashcard 2: Identify the growth type: $y = 3x + 2$ .

Answer: Linear growth. Has constant slope of 3 and y-intercept of 2.

Flashcard 3: State the initial value in the exponential function $y = 5(1.2)^x$ .

Answer:

The coefficient before the parentheses is the initial value.

Flashcard 4: What is the slope of a horizontal line?

Answer:

No vertical change means zero slope.

Flashcard 5: What is the formula for linear growth?

Answer: $y = mx + b$ . Standard form where $m$ is slope and $b$ is y-intercept.

Flashcard 6: What is the formula for exponential growth?

Answer: $y = a(1 + r)^t$ . Where $a$ is initial value, $r$ is growth rate, $t$ is time.

Flashcard 7: Identify the growth factor in the function $y = 7(1.5)^t$ .

Answer: 1.5. The base of the exponential expression.

Flashcard 8: Find the slope of the line through points $(1, 2)$ and $(3, 8)$ .

Answer:

Using slope formula: $\frac{8-2}{3-1} = \frac{6}{2} = 3$ .

Flashcard 9: State the y-intercept of $y = a \times b^x$ where $b > 0$ .

Answer: $a$ . Initial value when $x = 0$ , since $b^0 = 1$ .

Flashcard 10: What is the formula for exponential growth?

Answer: $y = a(1 + r)^t$ . Where $a$ is initial value, $r$ is growth rate, $t$ is time.

Flashcard 11: Identify the growth type: $y = 3x + 2$ .

Answer: Linear growth. Has constant slope of 3 and y-intercept of 2.

Flashcard 12: Which function represents exponential decay?

Answer: $y = a(1 - r)^t$ . Uses $(1-r)$ where $0 < (1-r) < 1$ for decay.

Flashcard 13: Identify the growth type: $y = 5(1.08)^t$ .

Answer: Exponential growth. Base 1.08 > 1 indicates growth with 8% rate.

Flashcard 14: What is the formula for linear growth?

Answer: $y = mx + b$ . Standard form where $m$ is slope and $b$ is y-intercept.

Flashcard 15: Find $y$ when $x = 1$ for $y = 3^x + 2$ .

Answer:

Substitute $x = 1$ : $y = 3^1 + 2 = 3 + 2 = 5$ .

Flashcard 16: What does $r$ represent in $y = a \times (1 + r)^x$ ?

Answer: Growth rate. The percentage rate of growth per time period.

Flashcard 17: Determine the y-intercept of $y = -3x + 6$ .

Answer:

The constant term is the y-intercept.

Flashcard 18: Identify the exponential function with $a = 5$ and $b = 0.5$ .

Answer: $y = 5 \times 0.5^x$ . Exponential form with given initial value and base.

Flashcard 19: What does the graph of $y = 2^x$ look like?

Answer: Exponential growth. Exponential function with base greater than 1 shows growth.

Flashcard 20: Determine if $y = -3 \times (0.5)^x$ is growth or decay.

Answer: Decay. Base $0.5 < 1$ indicates exponential decay.

Flashcard 21: What is the y-intercept in $y = 0.5 \times 3^x$ ?

Answer: 0.5. The initial value $a$ when $x = 0$ .

Flashcard 22: Find the slope of the line $y = \frac{1}{2}x + 2$ .

Answer: $\frac{1}{2}$ . The coefficient of $x$ gives the slope.

Flashcard 23: Identify the y-intercept in the equation $y = 4x - 7$ .

Answer: -7. The constant term is the y-intercept in slope-intercept form.

Flashcard 24: What does $m$ represent in the linear equation $y = mx + b$ ?

Answer: Slope. Rate of change per unit increase in $x$ .

Flashcard 25: What is the slope of a horizontal line?

Answer:

No vertical change means zero slope.

Flashcard 26: Find the y-intercept of the line passing through $(0, -3)$ .

Answer: -3. The y-coordinate when $x = 0$ .

Flashcard 27: What does the graph of $y = 2^x$ look like?

Answer: Exponential growth. Exponential function with base greater than 1 shows growth.

Flashcard 28: Determine if $y = -3 \times (0.5)^x$ is growth or decay.

Answer: Decay. Base $0.5 < 1$ indicates exponential decay.

Flashcard 29: What is the y-intercept in $y = 0.5 \times 3^x$ ?

Answer: 0.5. The initial value $a$ when $x = 0$ .

Flashcard 30: Which function represents exponential decay?

Answer: $y = a \times b^x$ with $0 < b < 1$ . Base between 0 and 1 causes exponential decay.

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SAT Math Flashcards: Linear And Exponential Growth

Study Linear And Exponential Growth in SAT Math with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

← Back to flashcard decks

What this deck covers

This deck focuses on Linear And Exponential Growth, giving you a quick way to review the definitions, rules, and examples that matter most for SAT Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

SAT Math Flashcards: Linear And Exponential Growth

/ 30

0 reviewed

0% Complete

0 reviewing

QUESTION

Find $y$ when $x = 0$ in $y = 4 \times 10^x$ .

Tap or drag to reveal answer

ANSWER

When $x = 0$ : $y = 4 \times 10^0 = 4 \times 1 = 4$ .

Swipe Right = I Know It! 🎉

Swipe Left = Still Learning

All flashcards

Flashcard 1: Find $y$ when $x = 0$ in $y = 4 \times 10^x$ .

Answer:

When $x = 0$ : $y = 4 \times 10^0 = 4 \times 1 = 4$ .

Flashcard 2: Identify the growth type: $y = 3x + 2$ .

Answer: Linear growth. Has constant slope of 3 and y-intercept of 2.

Flashcard 3: State the initial value in the exponential function $y = 5(1.2)^x$ .

Answer:

The coefficient before the parentheses is the initial value.

Flashcard 4: What is the slope of a horizontal line?

Answer:

No vertical change means zero slope.

Flashcard 5: What is the formula for linear growth?

Answer: $y = mx + b$ . Standard form where $m$ is slope and $b$ is y-intercept.

Flashcard 6: What is the formula for exponential growth?

Answer: $y = a(1 + r)^t$ . Where $a$ is initial value, $r$ is growth rate, $t$ is time.

Flashcard 7: Identify the growth factor in the function $y = 7(1.5)^t$ .

Answer: 1.5. The base of the exponential expression.

Flashcard 8: Find the slope of the line through points $(1, 2)$ and $(3, 8)$ .

Answer:

Using slope formula: $\frac{8-2}{3-1} = \frac{6}{2} = 3$ .

Flashcard 9: State the y-intercept of $y = a \times b^x$ where $b > 0$ .

Answer: $a$ . Initial value when $x = 0$ , since $b^0 = 1$ .

Flashcard 10: What is the formula for exponential growth?

Answer: $y = a(1 + r)^t$ . Where $a$ is initial value, $r$ is growth rate, $t$ is time.

Flashcard 11: Identify the growth type: $y = 3x + 2$ .

Answer: Linear growth. Has constant slope of 3 and y-intercept of 2.

Flashcard 12: Which function represents exponential decay?

Answer: $y = a(1 - r)^t$ . Uses $(1-r)$ where $0 < (1-r) < 1$ for decay.

Flashcard 13: Identify the growth type: $y = 5(1.08)^t$ .

Answer: Exponential growth. Base 1.08 > 1 indicates growth with 8% rate.

Flashcard 14: What is the formula for linear growth?

Answer: $y = mx + b$ . Standard form where $m$ is slope and $b$ is y-intercept.

Flashcard 15: Find $y$ when $x = 1$ for $y = 3^x + 2$ .

Answer:

Substitute $x = 1$ : $y = 3^1 + 2 = 3 + 2 = 5$ .

Flashcard 16: What does $r$ represent in $y = a \times (1 + r)^x$ ?

Answer: Growth rate. The percentage rate of growth per time period.

Flashcard 17: Determine the y-intercept of $y = -3x + 6$ .

Answer:

The constant term is the y-intercept.

Flashcard 18: Identify the exponential function with $a = 5$ and $b = 0.5$ .

Answer: $y = 5 \times 0.5^x$ . Exponential form with given initial value and base.

Flashcard 19: What does the graph of $y = 2^x$ look like?

Answer: Exponential growth. Exponential function with base greater than 1 shows growth.

Flashcard 20: Determine if $y = -3 \times (0.5)^x$ is growth or decay.

Answer: Decay. Base $0.5 < 1$ indicates exponential decay.

Flashcard 21: What is the y-intercept in $y = 0.5 \times 3^x$ ?

Answer: 0.5. The initial value $a$ when $x = 0$ .

Flashcard 22: Find the slope of the line $y = \frac{1}{2}x + 2$ .

Answer: $\frac{1}{2}$ . The coefficient of $x$ gives the slope.

Flashcard 23: Identify the y-intercept in the equation $y = 4x - 7$ .

Answer: -7. The constant term is the y-intercept in slope-intercept form.

Flashcard 24: What does $m$ represent in the linear equation $y = mx + b$ ?

Answer: Slope. Rate of change per unit increase in $x$ .

Flashcard 25: What is the slope of a horizontal line?

Answer:

No vertical change means zero slope.

Flashcard 26: Find the y-intercept of the line passing through $(0, -3)$ .

Answer: -3. The y-coordinate when $x = 0$ .

Flashcard 27: What does the graph of $y = 2^x$ look like?

Answer: Exponential growth. Exponential function with base greater than 1 shows growth.

Flashcard 28: Determine if $y = -3 \times (0.5)^x$ is growth or decay.

Answer: Decay. Base $0.5 < 1$ indicates exponential decay.

Flashcard 29: What is the y-intercept in $y = 0.5 \times 3^x$ ?

Answer: 0.5. The initial value $a$ when $x = 0$ .

Flashcard 30: Which function represents exponential decay?

Answer: $y = a \times b^x$ with $0 < b < 1$ . Base between 0 and 1 causes exponential decay.

Opening subject page...

SAT Math Flashcards: Linear And Exponential Growth

What this deck covers

How to use these flashcards

SAT Math Flashcards: Linear And Exponential Growth

All flashcards

Flashcard 1: Find yyy when x=0x = 0x=0 in y=4×10xy = 4 \times 10^xy=4×10x.

Flashcard 2: Identify the growth type: y=3x+2y = 3x + 2y=3x+2.

Flashcard 3: State the initial value in the exponential function y=5(1.2)xy = 5(1.2)^xy=5(1.2)x.

Flashcard 4: What is the slope of a horizontal line?

Flashcard 5: What is the formula for linear growth?

Flashcard 6: What is the formula for exponential growth?

Flashcard 7: Identify the growth factor in the function y=7(1.5)ty = 7(1.5)^ty=7(1.5)t.

Flashcard 8: Find the slope of the line through points (1,2)(1, 2)(1,2) and (3,8)(3, 8)(3,8).

Flashcard 9: State the y-intercept of y=a×bxy = a \times b^xy=a×bx where b>0b > 0b>0.

Flashcard 10: What is the formula for exponential growth?

Flashcard 11: Identify the growth type: y=3x+2y = 3x + 2y=3x+2.

Flashcard 12: Which function represents exponential decay?

Flashcard 13: Identify the growth type: y=5(1.08)ty = 5(1.08)^ty=5(1.08)t.

Flashcard 14: What is the formula for linear growth?

Flashcard 15: Find yyy when x=1x = 1x=1 for y=3x+2y = 3^x + 2y=3x+2.

Flashcard 16: What does rrr represent in y=a×(1+r)xy = a \times (1 + r)^xy=a×(1+r)x?

Flashcard 17: Determine the y-intercept of y=−3x+6y = -3x + 6y=−3x+6.

Flashcard 18: Identify the exponential function with a=5a = 5a=5 and b=0.5b = 0.5b=0.5.

Flashcard 19: What does the graph of y=2xy = 2^xy=2x look like?

Flashcard 20: Determine if y=−3×(0.5)xy = -3 \times (0.5)^xy=−3×(0.5)x is growth or decay.

Flashcard 21: What is the y-intercept in y=0.5×3xy = 0.5 \times 3^xy=0.5×3x?

Flashcard 22: Find the slope of the line y=12x+2y = \frac{1}{2}x + 2y=21​x+2.

Flashcard 23: Identify the y-intercept in the equation y=4x−7y = 4x - 7y=4x−7.

Flashcard 24: What does mmm represent in the linear equation y=mx+by = mx + by=mx+b?

Flashcard 25: What is the slope of a horizontal line?

Flashcard 26: Find the y-intercept of the line passing through (0,−3)(0, -3)(0,−3).

Flashcard 27: What does the graph of y=2xy = 2^xy=2x look like?

Flashcard 28: Determine if y=−3×(0.5)xy = -3 \times (0.5)^xy=−3×(0.5)x is growth or decay.

Flashcard 29: What is the y-intercept in y=0.5×3xy = 0.5 \times 3^xy=0.5×3x?

Flashcard 30: Which function represents exponential decay?

Opening subject page...

SAT Math Flashcards: Linear And Exponential Growth

What this deck covers

How to use these flashcards

SAT Math Flashcards: Linear And Exponential Growth

All flashcards

Flashcard 1: Find yyy when x=0x = 0x=0 in y=4×10xy = 4 \times 10^xy=4×10x.

Flashcard 2: Identify the growth type: y=3x+2y = 3x + 2y=3x+2.

Flashcard 3: State the initial value in the exponential function y=5(1.2)xy = 5(1.2)^xy=5(1.2)x.

Flashcard 4: What is the slope of a horizontal line?

Flashcard 5: What is the formula for linear growth?

Flashcard 6: What is the formula for exponential growth?

Flashcard 7: Identify the growth factor in the function y=7(1.5)ty = 7(1.5)^ty=7(1.5)t.

Flashcard 8: Find the slope of the line through points (1,2)(1, 2)(1,2) and (3,8)(3, 8)(3,8).

Flashcard 9: State the y-intercept of y=a×bxy = a \times b^xy=a×bx where b>0b > 0b>0.

Flashcard 10: What is the formula for exponential growth?

Flashcard 11: Identify the growth type: y=3x+2y = 3x + 2y=3x+2.

Flashcard 12: Which function represents exponential decay?

Flashcard 13: Identify the growth type: y=5(1.08)ty = 5(1.08)^ty=5(1.08)t.

Flashcard 14: What is the formula for linear growth?

Flashcard 15: Find yyy when x=1x = 1x=1 for y=3x+2y = 3^x + 2y=3x+2.

Flashcard 16: What does rrr represent in y=a×(1+r)xy = a \times (1 + r)^xy=a×(1+r)x?

Flashcard 17: Determine the y-intercept of y=−3x+6y = -3x + 6y=−3x+6.

Flashcard 18: Identify the exponential function with a=5a = 5a=5 and b=0.5b = 0.5b=0.5.

Flashcard 19: What does the graph of y=2xy = 2^xy=2x look like?

Flashcard 20: Determine if y=−3×(0.5)xy = -3 \times (0.5)^xy=−3×(0.5)x is growth or decay.

Flashcard 21: What is the y-intercept in y=0.5×3xy = 0.5 \times 3^xy=0.5×3x?

Flashcard 22: Find the slope of the line y=12x+2y = \frac{1}{2}x + 2y=21​x+2.

Flashcard 23: Identify the y-intercept in the equation y=4x−7y = 4x - 7y=4x−7.

Flashcard 24: What does mmm represent in the linear equation y=mx+by = mx + by=mx+b?

Flashcard 25: What is the slope of a horizontal line?

Flashcard 26: Find the y-intercept of the line passing through (0,−3)(0, -3)(0,−3).

Flashcard 27: What does the graph of y=2xy = 2^xy=2x look like?

Flashcard 28: Determine if y=−3×(0.5)xy = -3 \times (0.5)^xy=−3×(0.5)x is growth or decay.

Flashcard 29: What is the y-intercept in y=0.5×3xy = 0.5 \times 3^xy=0.5×3x?

Flashcard 30: Which function represents exponential decay?

Flashcard 1: Find $y$ when $x = 0$ in $y = 4 \times 10^x$ .

Flashcard 2: Identify the growth type: $y = 3x + 2$ .

Flashcard 3: State the initial value in the exponential function $y = 5(1.2)^x$ .

Flashcard 7: Identify the growth factor in the function $y = 7(1.5)^t$ .

Flashcard 8: Find the slope of the line through points $(1, 2)$ and $(3, 8)$ .

Flashcard 9: State the y-intercept of $y = a \times b^x$ where $b > 0$ .

Flashcard 11: Identify the growth type: $y = 3x + 2$ .

Flashcard 13: Identify the growth type: $y = 5(1.08)^t$ .

Flashcard 15: Find $y$ when $x = 1$ for $y = 3^x + 2$ .

Flashcard 16: What does $r$ represent in $y = a \times (1 + r)^x$ ?

Flashcard 17: Determine the y-intercept of $y = -3x + 6$ .

Flashcard 18: Identify the exponential function with $a = 5$ and $b = 0.5$ .

Flashcard 19: What does the graph of $y = 2^x$ look like?

Flashcard 20: Determine if $y = -3 \times (0.5)^x$ is growth or decay.

Flashcard 21: What is the y-intercept in $y = 0.5 \times 3^x$ ?

Flashcard 22: Find the slope of the line $y = \frac{1}{2}x + 2$ .

Flashcard 23: Identify the y-intercept in the equation $y = 4x - 7$ .

Flashcard 24: What does $m$ represent in the linear equation $y = mx + b$ ?

Flashcard 26: Find the y-intercept of the line passing through $(0, -3)$ .

Flashcard 27: What does the graph of $y = 2^x$ look like?

Flashcard 28: Determine if $y = -3 \times (0.5)^x$ is growth or decay.

Flashcard 29: What is the y-intercept in $y = 0.5 \times 3^x$ ?

Flashcard 1: Find $y$ when $x = 0$ in $y = 4 \times 10^x$ .

Flashcard 2: Identify the growth type: $y = 3x + 2$ .

Flashcard 3: State the initial value in the exponential function $y = 5(1.2)^x$ .

Flashcard 7: Identify the growth factor in the function $y = 7(1.5)^t$ .

Flashcard 8: Find the slope of the line through points $(1, 2)$ and $(3, 8)$ .

Flashcard 9: State the y-intercept of $y = a \times b^x$ where $b > 0$ .

Flashcard 11: Identify the growth type: $y = 3x + 2$ .

Flashcard 13: Identify the growth type: $y = 5(1.08)^t$ .

Flashcard 15: Find $y$ when $x = 1$ for $y = 3^x + 2$ .

Flashcard 16: What does $r$ represent in $y = a \times (1 + r)^x$ ?

Flashcard 17: Determine the y-intercept of $y = -3x + 6$ .

Flashcard 18: Identify the exponential function with $a = 5$ and $b = 0.5$ .

Flashcard 19: What does the graph of $y = 2^x$ look like?

Flashcard 20: Determine if $y = -3 \times (0.5)^x$ is growth or decay.

Flashcard 21: What is the y-intercept in $y = 0.5 \times 3^x$ ?

Flashcard 22: Find the slope of the line $y = \frac{1}{2}x + 2$ .

Flashcard 23: Identify the y-intercept in the equation $y = 4x - 7$ .

Flashcard 24: What does $m$ represent in the linear equation $y = mx + b$ ?

Flashcard 26: Find the y-intercept of the line passing through $(0, -3)$ .

Flashcard 27: What does the graph of $y = 2^x$ look like?

Flashcard 28: Determine if $y = -3 \times (0.5)^x$ is growth or decay.

Flashcard 29: What is the y-intercept in $y = 0.5 \times 3^x$ ?