Translating and Solving Algebraic Expressions

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

Arjun is helping William to distribute 2 packets of stickers equally among 7 friends. Each packet contains 'c' stickers and 8 stickers are damaged. Use the distributive property to simplify the expression representing this scenario.

2(7c - 8)

• 14c - 16

• 14c + 16

• 7c - 16

• c - 16

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.

• 18g + 27

• 18g - 27

• -18g - 27

• 18g - 18

Simplify the expression by combining like terms.

8a+4b+2c-3b+a

• 9a+b+2c

• 10a+7b+c

• 13abc

• 18abc

Kai is trying to calculate the total distance he and his friends Hannah and William traveled on their bikes. He found the expression for the total distance to be 9x²+14x-x²+6x. Can you help him simplify this expression by combining like terms?

• 8x²+20x

• 9x²+20x

• 10x²+20x

• 8x²+8x

Simplify the expression.

5(3+5x-1)

• 25x+10

• 15+25x

• 25x+15-1

• 25x+2

Simplify the expression

29x+8(4y-2x)

• 13x+32y

• 27x+12y

• 31x+32y

• 13x-32y

Simplify the expression

8(2x+3)-13

• 16x+11

• 16x

• 24x+41

• 4-24x