Represent and Solve Equations and Inequalities

Tell which property of equality was used

4t=17

4t x 7=17x7

Tell which property of equality was used

5m-2=22

(5m-2)+1=22+1

• Multiplication property of equality

• Subtraction property of equality

• Division property of equality

• Addition property of equality

Select all the equations that are true when x = 6.

• 6x = 12

• 17 - x = 11

• x / 2 = 3

• 19 / 3 = x

• 5 + x = 11

Find the solution of the equation a + $5.92 = $12.29.

• a = $5.37

• a = $5.47

• a = $6.37

• a = $6.27

Which equation is equivalent to x + 8 = 21?

• (x + 8) × 4

• (x + 8) × 4 = 21 / 4

• (x + 8) × 4 = 21 × 2

• (x + 8) × 4 = 21 × 4

Select all the equations that are equivalent to 8k = 20.

• 8k - 4 = 20

• 8k / 4 = 20 / 4

• 8k × 3 = 20 × 3

• 8k + 10 = 20 + 10

• 8k x 5 = 20 / 5

Solve 42 = y + 15.

(Note: Write the full equation, i.e. y = ?)

Mathematical Equivalence

OFF

Choose the equation that has m = 5 as the solution.

• m + 4 = 20

• m - 3 = 8

• 22 + m = 25

• 12 = m + 7

A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c be the cost of each jacket. How much did each jacket cost? Choose the equation that represents this problem.

• 1,116 × c = 36

• c = 1,116 × 36

• 1,116 / 36 = c

• c = 36 / 1,116

In which equation would you multiply both sides by 4.5 to get the variable alone?

• 6.1p = 4.5

• p / 6.1 = 4.5

• p / 4.5 = 6.1

• 4.5p = 6.1