Translating Expressions and Solving

Simplify the expression.

5(3+5x-1)

• 25x+10

• 15+25x

• 25x+15-1

• 25x+2

Simplify the expression

8(2x+3)-13

• 16x+11

• 16x

• 24x+41

• 4-24x

Liam is solving an algebraic expression. He notices a numerical factor associated with a variable term. What is this numerical factor called in algebra?

• term

• coefficient

• variable

• constant

Use the distributive property to simplify the expression.

5(a + 6)

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Use the distributive property to simplify the expression.

3(2c - 5)

• 6c - 15

• 6c + 15

• 6c + 15

• -6c - 15

Use the distributive property to simplify the expression.

9(2g + 3)

• 18g + 27

• 18g - 27

• -18g - 27

• 18g - 18

Simplify the expression

29x+8(4y-2x)

• 13x+32y

• 27x+12y

• 31x+32y

• 13x-32y

The product of seven and j

• 7j

• j+3

• j-3

• j/3

2 times the sum of a number x and 3

• 2x + 3

• (x + 3)(2x)

• 3x + 2

• 2(x + 3)

5 less than the product of 7 and s

• 7s - 5

• 5 - 7 + s

• 7(s - 5) 

• 5 - 7s