Equivalent Expressions - SAT Math
Card 0 of 27
Effect of multiplying by $0 < a < 1$ in $y = a f(x)$.
Effect of multiplying by $0 < a < 1$ in $y = a f(x)$.
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Vertical compression by factor $a$.
Vertical compression by factor $a$.
Effect of multiplying the function by $a > 1$ in $y = a f(x)$.
Effect of multiplying the function by $a > 1$ in $y = a f(x)$.
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Vertical stretch by factor $a$.
Vertical stretch by factor $a$.
Expand $(x - 2)(x + 7)$.
Expand $(x - 2)(x + 7)$.
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$x^2 + 5x - 14$.
$x^2 + 5x - 14$.
Expand $(x + 5)^2$.
Expand $(x + 5)^2$.
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$x^2 + 10x + 25$.
$x^2 + 10x + 25$.
If linear and exponential start equal, which is larger after many intervals?
If linear and exponential start equal, which is larger after many intervals?
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The exponential model.
The exponential model.
In $y = 50(1.05)^t$, what happens if $r$ increases from 0.05 to 0.08?
In $y = 50(1.05)^t$, what happens if $r$ increases from 0.05 to 0.08?
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Growth is faster; values increase more rapidly over time.
Growth is faster; values increase more rapidly over time.
Simplify -2(3x - 5) + 4x.
Simplify -2(3x - 5) + 4x.
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$-6x + 10 + 4x = -2x + 10.$
$-6x + 10 + 4x = -2x + 10.$
Simplify $(2x)^2$.
Simplify $(2x)^2$.
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$4x^2$.
$4x^2$.
Simplify $(x + 3)(x - 3)$.
Simplify $(x + 3)(x - 3)$.
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$x^2 - 9$.
$x^2 - 9$.
Simplify $|-8|$
Simplify $|-8|$
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8
8
Simplify $|3-9|$
Simplify $|3-9|$
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6
6
Simplify $|3x|$
Simplify $|3x|$
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$3|x|$.
$3|x|$.
Simplify $|5|$
Simplify $|5|$
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5
5
Simplify $|x|^2$
Simplify $|x|^2$
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$x^2$.
$x^2$.
Simplify $f(x) = (x + 2)^2 - (x - 2)^2$.
Simplify $f(x) = (x + 2)^2 - (x - 2)^2$.
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$(x^2 + 4x + 4) - (x^2 - 4x + 4) = 8x$.
$(x^2 + 4x + 4) - (x^2 - 4x + 4) = 8x$.
Simplify $f(x) = (x + 3)^2 - 9$.
Simplify $f(x) = (x + 3)^2 - 9$.
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$x^2 + 6x$.
$x^2 + 6x$.
Simplify 3(x - 4) + 2(x + 5).
Simplify 3(x - 4) + 2(x + 5).
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3x - 12 + 2x + 10 = 5x - 2.
3x - 12 + 2x + 10 = 5x - 2.
Simplify 4(2x + 3) - 2x.
Simplify 4(2x + 3) - 2x.
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$8x + 12 - 2x = 6x + 12.$
$8x + 12 - 2x = 6x + 12.$
Simplify and solve: $5(2x - 3) < 15$.
Simplify and solve: $5(2x - 3) < 15$.
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$x < 3$.
$x < 3$.
What is $\cos 0^{\circ}$?
What is $\cos 0^{\circ}$?
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1
1
What is $\cos 60^{\circ}$?
What is $\cos 60^{\circ}$?
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$\tfrac{1}{2}$.
$\tfrac{1}{2}$.
What is $\sin 30^{\circ}$?
What is $\sin 30^{\circ}$?
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$\tfrac{1}{2}$.
$\tfrac{1}{2}$.
What is $\sin 90^{\circ}$?
What is $\sin 90^{\circ}$?
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1
1
What is $\tan 0^{\circ}$?
What is $\tan 0^{\circ}$?
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0
0
What is $\tan 45^{\circ}$?
What is $\tan 45^{\circ}$?
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1
1
What type of change occurs in an exponential model?
What type of change occurs in an exponential model?
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Constant percent (multiplicative) change.
Constant percent (multiplicative) change.
Which grows faster long-term: linear or exponential?
Which grows faster long-term: linear or exponential?
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Exponential.
Exponential.