Intro Solving Equations

The diagram below shows a rectangular garden. The perimeter of the garden is 47 feet. Which equation can be used to find the length, x, in feet, of the garden?

• x + 13 = 47

• x + 6.5 = 47

• 2x + 13 = 47

• 2x + 6.5 = 47

Tags

CCSS.7.EE.B.4A

A teacher wrote this expression on the board. 2(9x + 10y) Which of the following expressions are equivalent to the teacher’s expression? Select the two correct answers.

• 2(19xy)

• 11x + 12y

• 18x + 20y

• 2(9x) + 2(19y)

• 2(9x) + 2(10y)

Tags

CCSS.6.EE.A.4

Diego writes 6 poems per week. Which of the following expressions can be used to show the number of poems Diego writes in w weeks?

• 6 ÷ w

• 6 × w

• 6 + w

• 6 − w

Tags

CCSS.6.EE.B.6

A teacher wrote this expression on the board. 40a − 16b Which of the following are equivalent to the expression the teacher wrote? Select the two equivalent expressions.

• 4(10a − 16b)

• 4(10a − 4b)

• 8a(5 − 2)

• 8(5a − 2b)

• 24ab

Tags

CCSS.6.EE.A.4

Consider this expression below. 5m + 7 Which of the following is equivalent to the expression?

• 12m

• 7 + 5m

• 7m + 5

• 5(m + 7)

Tags

CCSS.6.EE.A.4

What is the value of y in this equation? 6y - 18 = 42

• 0

• 4

• 10

• 12

Tags

CCSS.7.EE.B.4A

In which of the following equations does x have a value of 4?

Tags

CCSS.6.EE.B.5

A school has 200 pencils. The principal keeps 40 in the office and wants to distribute the rest equally among 8 classrooms. Which equation represents the number of pencils, p, each classroom will receive?

• 200 ÷ (8 + 40) = p

• (200 - 40) ÷ 8 = p

• (200 + 40) ÷ 8 = p

• (200 ÷ 8) - 40 = p

Tags

CCSS.HSA.CED.A.3

A farmer collects 150 eggs. She uses 30 for her family and wants to distribute the rest equally into 10 cartons. Which equation can be used to determine the number of eggs, e, in each carton?

• (150 + 30) ÷ 10 = e

• 150 ÷ (30 - 10) = e

• (150 - 30) ÷ 10 = e

• (150 ÷ 30) - 10 = e

Tags

CCSS.HSA.CED.A.3

If x represents the number of cookies in a jar, which equation shows that there are 4 more than twice the number of cookies in another jar that has 15 cookies?

• x = 2 × 15 + 4

• x = 15 + 2 + 4

• x = (15 × 2) - 4

• x = 15 × (2 + 4)

Tags

CCSS.6.EE.B.6