Bluebook SAT Test Linear Equations in One Variable 3 — Questions and Answers
Question 1: If 5x + 3 = 28, what is the value of 2x?
- 5
- 10 (Correct answer)
- 11
- 14
Correct answer: 10
5x = 25 → x = 5; so 2x = 10.
Question 2: Solve for y: 8 − 2y = 3y − 7
- y = 1
- y = 3 (Correct answer)
- y = 5
- y = 15
Correct answer: y = 3
Add 2y: 8 = 5y − 7; add 7: 15 = 5y; y = 3.
Question 3: A phone plan charges $0.10 per text. Lena received a bill of $12.50 for texts only. How many texts did she send?
- 12
- 125 (Correct answer)
- 1250
- 12500
Correct answer: 125
0.10t = 12.50 → t = 125.
Question 4: Solve for x: 2x/5 = 8
- x = 4
- x = 16
- x = 20 (Correct answer)
- x = 40
Correct answer: x = 20
Multiply both sides by 5: 2x = 40; divide by 2: x = 20.
Question 5: If 6(x − 3) = 2(x + 5), what is the value of x?
- x = 7 (Correct answer)
- x = 8
- x = 10
- x = 14
Correct answer: x = 7
Expand: 6x − 18 = 2x + 10; subtract 2x: 4x − 18 = 10; add 18: 4x = 28; x = 7.
Question 6: A recipe uses 3 cups of flour for every 2 cups of sugar. If a baker uses 12 cups of flour, how many cups of sugar does she need?
- 6 cups
- 8 cups (Correct answer)
- 9 cups
- 18 cups
Correct answer: 8 cups
Set up 3/2 = 12/s → 3s = 24 → s = 8.
Question 7: Solve for x: −4(x + 1) + 2x = 10
- x = −7 (Correct answer)
- x = −3
- x = 3
- x = 7
Correct answer: x = −7
Expand: −4x − 4 + 2x = 10 → −2x = 14 → x = −7.
Bluebook SAT Test Linear Equations in One Variable 3
If 5x + 3 = 28, what is the value of 2x?