SATs Math 2

Question 1

If 3x − 7 = 2x + 5, what is the value of x?

Accepted Answer

12

Answer

Subtracting 2x from both sides gives x − 7 = 5, so x = 12.

Question 2

A store sells notebooks for $3 each and pens for $1.50 each. Maria bought 10 items for $22.50. How many notebooks did she buy?

Accepted Answer

5

Answer

Setting up n + p = 10 and 3n + 1.5p = 22.50, then solving gives n = 5.

Question 3

Which value of x satisfies 2|x − 3| ≤ 8?

Accepted Answer

x = −1

Answer

Dividing by 2 gives |x − 3| ≤ 4, which means −1 ≤ x ≤ 7, so x = −1 satisfies this.

Question 4

A line passes through (2, 5) and (6, 13). What is the y-intercept of this line?

Accepted Answer

1

Answer

The slope is (13 − 5)/(6 − 2) = 2; substituting (2, 5) gives 5 = 2(2) + b, so b = 1.

Question 5

A car travels 240 miles on 8 gallons of gas. At this rate, how many gallons are needed for 360 miles?

Accepted Answer

12

Answer

The car gets 30 mpg, so 360 miles requires 360 ÷ 30 = 12 gallons.

SATs (Standard Assessment Test) Practice Test