Benchmark 2

What is the solution of the equation:
 2x + 9 = 6x – 7

• x = 2

• x = 3

• x = 4

• x = 5

Solve the following equation:
5n + 34 = −2(1 − 7n) 

• n = 4

• n = 5

• n = 6

• n = 7

Which operation should be performed first to solve the inequality below?
–4x + 7 ≤ 23

• Add 4 to both sides

• Divide by -4 on both sides 

• Subtract 7 on both sides

• Subtract 23 on both sides

The sentence, 3 less than the product of 4 and a number is greater than 5 times the number, translates to which mathematical statement?

• 3 < 4n > 5n

• 4n - 3 > 5n

• 3 - 4n > 5n

• 4n - 3 > 5

If you multiply a number by 6 and then add 4, the result is 40. What is the number?

• 4

• 5

• 6

• 7

Answer explanation

To find the number, subtract 4 from 40 to get 36. Then divide 36 by 6 to get the number, which is 6. Therefore, the correct number is 6.

Solve the inequality:
 5(4 + x) ≤ 25.

• x ≤ 1

• x ≥ 3

• x ≤ 3

• x = 1

Solve the following equation:
−9x + 1 = −80 

• x = 9.5

• x = -9

• x = 7

• x = 9

Solve the following equation:
10x – 2x – 5 = 19

• x = 3

• x = 24

• x = 8

• 8x = 24 

Solve the following equation:
–6x + 15 = 9

• x = - 4

• x = 1

• x = 3

• x = 2

Simplify:
(3x + 5) + (x – 12)

• 4x + 17

• 4x - 7

• 3x - 7

• 2x - 17