M1 Expressions and Equations Quiz 1

Write a simplified expression for the model. (Make sure you completely simplify!)

Answer explanation

2x because 4x - 2x + 6 - 6 simplifies to 2x

Which of the following expressions simplifies to -15a + 30?

• -3(-5a + 10)

• 5(-3a - 6)

• -15(a + 2)

• 6(-2.5a + 5)

Write a simplified expression for the area of the rectangle at the right.

Which value of n makes the equation 6.4n - 1.2 + 3n + 8.2 = 19.22 true?

• n = 11

• n = 2.9

• n = -8

• n = 1.3

Answer explanation

Did you remember to combine your like terms (6.4n + 3n) and (-1.2 + 8.2)? Then, solve for n.

Which value of p makes the equation 18 + 2(3p - 8) = -37 true?

• p = 2.05

• p = -6.5

• p = -7.83

• p = -0.5

Answer explanation

Distribute means multiply. Did you remember to distribute the 2 with both the 3p and the -8?

Solve this equation: -38 + 6x = -12x + 52

Which value of x is a solution to this equation: 1.6(15x + 25) = -6x - 5

• x = -1.5

• x = -1

• x = 1.5

• x = 1

Which value of w makes this equation true?

11 + 1/3(9w - 12) = -5(5 + w)

• w = -12

• w = 12

• w = -4

• w = 4

Li uses 8.4 grams of sugar every day in her tea. Sue uses 12.6 grams of sugar every day in her coffee. If Li's sugar canister contains 128 grams of sugar and Sue's canister contains 191 grams, in how many days will Li and Sue have the same amount of sugar in their canisters? (Just put the number of days for your answer.)

The perimeter of the square and the equilateral triangle are equal. Which of the following is NOT a true statement about the two figures?

• The value of x is 4.5.

• The perimeter of each figure is 36 units.

• Each side length of the square measures 6 units.

• Each side length of the triangle measures 12 units.