Equations

Which of the following is not an equation?

• 4 + 5 = 9

• 3 × 7 = 20

• 18 ÷ w = 6

• y = 3x – 8

• 14 ÷ z – 2

The value of the missing number that would make this equation true is: 32 – ___ = 18

• 4

• 6

• 14

• 16

• 24

The value of the missing number that would make this equation true is: 22 = 7 + ___ × 5

• A 2

• B 3

• C 6

• D 5

• E 6

Equation A: 3x + 2 = 8 is equivalent to equation B: 6x + 4 = 16 because:

• both sides of equation A have been multiplied by 2 to give equation B.

• both sides of equation A have been multiplied by 3 to give equation B.

• both sides of equation A have had 8 added to give equation B.

• both sides of equation A have had 8 subtracted to give equation B.

• the two equations are not equivalent

Which expression does not expand to 18m + 24?

• 6(3m + 4)

• 2(9m + 12)

• 3(8 + 6m)

• 4(6 + 4m)

• 6(4 + 3m)

When solving the equation 3a – 5 = 19, which step should be performed first?

• A. Adding 5 to both sides

• B. Subtracting 5 from both sides

• C. Multiplying both sides by 3

• D. Dividing both sides by 3

• E. Subtracting 19 from both sides

When solving the equation (5b + 7)/4 = 8, which step should be performed last?

• Multiplying both sides by 4

• Subtracting 7 from both sides

• Dividing both sides by 5

• Adding 7 from both sides

• Multiplying both sides by 5

Consider the rule y = 2x – 6. Find the value of x if y = 12.

• A. 3

• B. 4

• C. 6

• D. 8

• E. 9

Eva is a years old and Billie is b years old. In 4 years’ time their two ages will add to 32. An equation that represents this scenario is:

• A. a + 4 + b + 4 = 32

• B. a + b + 4 = 32

• C. a + b – 4 = 32

• D. 4(a + b) = 32

• E. 4(a – b) = 32

The sum of Leo’s current age, and his age last year is 25. How old is Leo?

• 12

• 13

• 14

• 15

• 16