Algebraic Reasoning

Which of the following expressions contains the variables x, y, and z?

• 4x + 6y + 10z

• 4x + 6y

• 4x + 10z

• 6y +10z

What are the constants in the expression?
4 + 16v

• 4, 16v

• 4

• 16

• +16

Which of the following answer choices is NOT an example of a variable?

• 8

• x

• u

• n

Translate this phrase into an algebraic expression.
24 more than Victoria's test score. 
Use d to represent Victoria's test score.

• 24x

• x - 24

• x + 24

• x/24

Alyssa borrowed $92 from her father. She has already paid back $12. She will pay him another $16 on Monday and then make equal payments of $4 until the rest of the money has been repaid. The expression shown can be used to find the number of equal payments Alyssa will need to make in order to repay the money. Based on that expression, how many equal payments will Alyssa need to make to repay her money?

• 24

• 16

• 5

• 27

If you divide a number by 2 and add 5, the result is 15. What is the number?

• 10

• 20

• 5

• 15

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

• 4m + 8

• 8m - 4

• 8m + 4

• 4m - 8

4 divided by the sum of a number and 12

• 4 / n + 12

• 4 / 12n

• 4 / (n + 12) 

• (4 / n) + 12

Twenty decreased by x

• 20+x

• 20/x

• x-20

• 20-x

Evaluate the expression using the values
 m = 7, r = 8, and t = 2.
4m + t

• 30

• 28

• 26

• 14