Module 2a Test Study Guide

Emma is designing a mosaic on her notebook cover with 1-inch square stickers. The cover of the notebook measures 8 inches long and 6 inches wide. What is the area of the notebook cover?

• 24 square inches

• 36 square inches

• 48 square inches

• 56 square inches

Answer explanation

The area of the notebook cover is calculated by multiplying the length and width. In this case, 8 inches x 6 inches = 48 square inches. Therefore, the correct answer is 48 square inches.

A student made a rectangle out of unit-square tiles, as shown. How can the student find the area of the rectangle?

• Multiply 9x5 or add 9+5

• Multiply 9x5 or 9+9+5+5

• Count the number of unit squares in 9 rows of 5 or multiply 9x5

• Count the number of unit squares in 9 rows of 5 or add each side 9+9+5+5

Answer explanation

To find the area of the rectangle, count the unit squares in 9 rows of 5 or multiply 9 by 5.

Write the verbal expression shown using numbers.

ten more than seven times x

What is the value of the expression when x = 20?

• 130

• 140

• 150

• 160

Answer explanation

The verbal expression 'ten more than seven times x' can be written as 7x + 10. When x = 20, the expression evaluates to 7(20) + 10 = 150. Therefore, the correct choice is 150.

A movie theater charges $8 for adults and $5 for children. Which expression can be used to find the total cost for x adult tickets and y children's tickets?

• (8 + 5) + (x + y)

• 8x + 5y

• (x + 8) + (y + 5)

• 5x + 8y

Answer explanation

The expression 8x + 5y can be used to find the total cost for x adult tickets and y children's tickets. This expression correctly calculates the cost by multiplying the number of adult tickets by 8 and the number of children's tickets by 5.

What is the equivalent expression for 3(6x - 4y) + 5?

• 18x - 12y + 5

• 18x - 8y + 5

• 18x - 12y + 15

• 24xy + 5

Answer explanation

The equivalent expression for 3(6x - 4y) + 5 is 18x - 12y + 5. This expression simplifies the given expression by distributing the 3 to both terms inside the parentheses and then combining like terms. Therefore, the correct choice is 18x - 12y + 5.

Karen is planting a garden as shown.

She wrote the expression 3(5 + 4) find the area of her garden. Which expression is equal to Karen's expression?

• 3(5) + 3(4)

• 3 x 20

• 3(5) + 4

• 3 + 9

Answer explanation

Karen's expression is equal to 3(5) + 3(4) because she needs to multiply the length and width of her garden by 3 to find the area.

Which expression is NOT equivalent to 7x + 5y +15 - 2x - 2y - 5?

• 5(1x + 2) + 3y

• 5x + 2(2 + y)

• (7 - 2)x + (5 - 2)y + 10

• (15 - 5) + (7x - 2x) + (5y - 2y)

Which pair of expressions are equivalent?

• 3x + 2y and 5xy

• 4(2x - 3y) and 8x - 10y

• 6(3x - 2y) and 18x - 12y

• 2x + 2y + 2x + 2y and 2(x + y)

Answer explanation

The correct pair of expressions is 4(2x - 3y) and 8x - 12y. These expressions are equivalent because they simplify to the same result.

Simplify: 5y + 2(y + 7) - 3(y - 6)

• 4y + 32

• 4y + 2

• 4y - 7

• 50y

Simplify the expression:

8 + 2(y + 5)

• 8 + 2y + 10

• 10y + 40

• 2y + 18

• 10y + 5