Reasoning with Algebraic Equations

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

• 4x + 6y + 10z

• 4x + 6y

• 4x + 10z

• 6y +10z

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

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

Write an algebraic expression for the image.

• 5a + 6b - 2b

• 5a + 6b + 2b

• 5a + 2b - 2b

• 13ab

What do these Algebra Tiles represent?

• -3x + 7 = 2x + 5

• 5x - 4 = 5x - 2

• -3x + 4 = 2x - 5

• 3x - 4 = 5x + 2

Mr. Richardson is driving to a town 85 miles away. He drives 35 miles per hour for 2 hours before stopping for lunch. He drives 6 more miles and stops for gas. Which expression shows how many miles Mr. Richardson has left to drive?

• 85 − (35 × 2) − 6

• 85 − 35 − 2 − 6

• (85 − 35) × 2 − 6

• 85 − 35 + 2 − 6

If an expression or equation is "algebraic", what should you see?

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4 divided by the sum of a number and 12

• 4 / n + 12

• 4 / 12n

• 4 / (n + 12) 

• (4 / n) + 12

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

• 30

• 28

• 26

• 14