Big Idea Algebra Exam Review

increase two times r by 3

• 2r + 3

• r + 3 x 2

• 2(r+3)

• 3 + r

increase d by 25

• d - 25

• d/25

• 25d

• d + 25

the sum of a number x and 12

• x + 12

• 12x

• 12 - x

• 12/x

3x - 2

• three times a number x decreased by 2

• x decreased by 2

• x decreased by 2 times 3

• three times a number x increased by 2

3(b + 3)

• three times b 

• a number b increased by 3

• three times a number b

• triple the sum of a number b and three

distributive property

• 3 + (4 + k) = (3 + 4) + k

• 4(5y) = (4 ⋅ 5)y

• 4 x 5 = 5 x 4

• 4(2x + 3) = 8x + 12

simplify the expression 5(x + 3) - 4

• 5x - 1

• 5x + 15 - 4

• 5x + 11

• 5x + 3 -4

simplify the expression 3(2 + 4r) + 10

• 5 + 4r + 10

• 6 + 4r + 10

• 9r + 10

• 12r + 16

The expression 30 ⋅ y ⋅ 5 represents the volume of a rectangular prism with a length of 30, a width of y, and height of 5. Simplify the expression.

• 30y ⋅ 5

• 150y

factor the expression 35x + 21

• 5(7x + 4)

• 7(5x + 3)

• 7(5x + 5)

• 5(7x + 3)