SAT Math - Expressions | Practice Hub

x is 75% of y, which is 8 times the amount of 150% of z. What is x in terms of z?

None of the other answers

7.5z

12z

Explanation

Just take this step by step. First write out each equation:

x = 0.75y

y = 8(1.5z)

First, simplify the second equation:

y = 12z

Then, substitute y from this equation into the first:

x = 0.75(12z) = 9z

If , , and , then what is the value of $\frac{d}{b}$ ?

$\frac{1}{6}$

$\frac{3}{2}$

None of the given answers.

Explanation

If ,

then

$d=\frac{c}{3}$ .

Therefore,

$\frac{d}{b}=\frac{\frac{c}{3}}{2c}=\frac{c}{3}\cdot\frac{1}{2c}=\frac{c}{6c}=\frac{1}{6}$

x is 75% of y, which is 8 times the amount of 150% of z. What is x in terms of z?

None of the other answers

7.5z

12z

Explanation

Just take this step by step. First write out each equation:

x = 0.75y

y = 8(1.5z)

First, simplify the second equation:

y = 12z

Then, substitute y from this equation into the first:

x = 0.75(12z) = 9z

x is 75% of y, which is 8 times the amount of 150% of z. What is x in terms of z?

None of the other answers

7.5z

12z

Explanation

Just take this step by step. First write out each equation:

x = 0.75y

y = 8(1.5z)

First, simplify the second equation:

y = 12z

Then, substitute y from this equation into the first:

x = 0.75(12z) = 9z

If , , and , then what is the value of $\frac{d}{b}$ ?

$\frac{1}{6}$

$\frac{3}{2}$

None of the given answers.

Explanation

If ,

then

$d=\frac{c}{3}$ .

Therefore,

$\frac{d}{b}=\frac{\frac{c}{3}}{2c}=\frac{c}{3}\cdot\frac{1}{2c}=\frac{c}{6c}=\frac{1}{6}$

If , , and , then what is the value of $\frac{d}{b}$ ?

$\frac{1}{6}$

$\frac{3}{2}$

None of the given answers.

Explanation

If ,

then

$d=\frac{c}{3}$ .

Therefore,

$\frac{d}{b}=\frac{\frac{c}{3}}{2c}=\frac{c}{3}\cdot\frac{1}{2c}=\frac{c}{6c}=\frac{1}{6}$

If 6 less than the product of 9 and a number is equal to 48, what is the number?

Explanation

Write an equation for the written expression: 9x – 6 = 48. When we solve for x we get x = 6.

Function_part1

9/5

–37/15

–11/5

37/15

–9/5

Explanation

Fraction_part2

Fraction_part3

If 6 less than the product of 9 and a number is equal to 48, what is the number?

Explanation

Write an equation for the written expression: 9x – 6 = 48. When we solve for x we get x = 6.

Function_part1

9/5

–37/15

–11/5

37/15

–9/5

Explanation

Fraction_part2

Fraction_part3

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