Bluebook SAT Test Linear Equations in One Variable 11

Question 1

A school fundraiser sells cookies for $2 each and brownies for $3 each. If Theo bought only brownies and spent $21, how many brownies did he buy?

Accepted Answer

7

Answer

3b = 21 → b = 7.

Question 2

Solve for t: 4(t + 2) − 3(t − 1) = 15

Accepted Answer

4

Answer

4t + 8 − 3t + 3 = 15 → t + 11 = 15 → t = 4.

Question 3

If 3x − 2 = 13, what is the value of 9x − 6?

Accepted Answer

39

Answer

9x − 6 = 3(3x − 2) = 3(13) = 39.

Question 4

A road trip covers 420 miles. Ivan has driven x miles and still has 3 times that distance remaining. How many miles has Ivan driven?

Accepted Answer

105

Answer

x + 3x = 420 → 4x = 420 → x = 105.

Question 5

Solve for y: 0.4y + 2.6 = 5.4

Accepted Answer

7

Answer

0.4y = 5.4 − 2.6 = 2.8 → y = 7.

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