Grade 8 Math Practice Quiz

Match the following operations with their inverse operations.

• Logarithm

• Division

• Multiplication

• Addition

• Addition

• Exponentiation

• Subtraction

• Subtraction

Tags

CCSS.6.EE.B.7

• k = -96

• k = 96

• k = 12

• k = -12

Answer explanation

To solve \( \frac{k}{8} = -12 \), multiply both sides by 8: \( k = -12 \times 8 \). This gives \( k = -96 \), making the correct answer \( k = -96 \).

Tags

CCSS.6.EE.B.7

• v = 7

• v = 14

• v = 28

• v = 70

Answer explanation

To solve the equation 140 = 20v, divide both sides by 20. This gives v = 140 / 20 = 7. Therefore, the correct solution is v = 7.

Tags

CCSS.6.EE.B.7

• n = -7

• n = 7

• n = 25

• n = -25

Answer explanation

To solve the equation n + 16 = 9, subtract 16 from both sides: n = 9 - 16, which simplifies to n = -7. Therefore, the correct solution is n = -7.

Tags

CCSS.6.EE.B.7

• k = 1

• k = 2

• k = 3

• k = 4

Answer explanation

To solve the equation 1 = k - 2, add 2 to both sides: 1 + 2 = k, which simplifies to k = 3. Therefore, the correct solution is k = 3.

Tags

CCSS.6.EE.B.7

• -15

• -5

• 5

• 15

Answer explanation

To solve \( \frac{m}{5} + 7 = 4 \), first subtract 7 from both sides: \( \frac{m}{5} = -3 \). Then, multiply both sides by 5: \( m = -15 \). The correct answer is -5, as it is the only option that satisfies the equation.

Tags

CCSS.7.EE.B.4A

• k = 3

• k = -3

• k = 2

• k = -2

Answer explanation

To solve -6k + 4 = -14, subtract 4 from both sides to get -6k = -18. Then, divide by -6 to find k = 3. Thus, the correct answer is k = 3.

Tags

CCSS.7.EE.B.4A

Translate the words into an algebraic equation and solve. Remember to box your solution. Ten less than twice a number is 36.

• 2x - 10 = 36; x = 23

• 2x + 10 = 36; x = 13

• 2x - 36 = 10; x = 23

• 2x - 10 = 26; x = 8

Answer explanation

The phrase 'ten less than twice a number' translates to 2x - 10. Setting this equal to 36 gives the equation 2x - 10 = 36. Solving for x, we add 10 to both sides to get 2x = 46, then divide by 2 to find x = 23. Thus, the correct choice is 2x - 10 = 36; x = 23.

Tags

CCSS.7.EE.B.4A

• m = 2

• m = 1

• m = 0

• m = -1

Answer explanation

To solve the equation -4 + 8m = 4m + 4, first isolate m. Rearranging gives 8m - 4m = 4 + 4, leading to 4m = 8. Dividing both sides by 4 results in m = 2, which is the correct answer.

Match the following equations with their solutions.

• 4.9r + 7.2 = -51.59

• r = -8.1

• 7.3r + 6.5 = -53.05

• r = -6.5

• 5.2r + 8.1 = -47.1

• r = -7.5

• 6.4r + 9.3 = -42.54

• r = -9.1

Tags

CCSS.7.EE.B.4A