Algebra 1 Unit 5 Mid-Unit Assessment

The softball team is selling hats, h, and t-shirts, t, for a fundraiser. They sold 40 items over the weekend at one of their games. Which equation could represent this scenario?

• ht=40

• h - t=40

• th=40

• h + t = 40

Select all of the following that are solutions to the equation 4x+6y= 36

• (2,2)

• (9,0)

• (1,2)

• (0,6)

Multiply the entire equation by 2.

• 5a + 8 = 17

• 6a + 12 = 30

• 6a + 12 = 15

• a + 3 = 5

Select all the equations equivalent to:

• 4x = 2

• 4x + 8 = 40

• 4x + 8 = 10

• 4x = 18

Which of the following are acceptable first steps when solving the equation:

¼ (x+12) = 2

Select all that apply. Choose (3) correct answers.

• subtract 12 from each side

• distribute the ¼

• divide each side by ¼

• multiply each side by 4

• subtract ¼ from each side

A student tried to solve this equation. What was his mistake?

• He tried to subtract 12 from each side from Step 1 to Step 2

• He multiplied each side by 4 from Step 2 to Step 3

• He didn't change the 1/4 to 0.25

• No mistake

What is the Golden Rule of Algebra?

• Do unto one side of the equation what you do to the other.

• Click a different answer.

• Don't click me.

• Not it.

• The other one is correct.

This hanger is in balance. There are two labeled weights of 4 grams and 12 grams. The three circles each have the same weight. What is the weight of each circle, in grams?

• ⅜

• 1

• ⁸/₃

• 8

Select all the situations that can be represented by the tape diagram. Choose (2) correct answers.

• Ava buys 4 bouquets, each with the same number of flowers. The florist puts an extra flower in each bouquet before she leaves. She leaves with a total of 99 flowers.

• Alli babysat 5 times this past month and earned the same amount each time. To thank her, the family gave her an extra $4 at the end of the month. Alli earned $99 from babysitting.

• Sadie's family of 5 drove to a concert. They paid $4 for parking, and all of their tickets were the same price. They paid $99 in total.

• Cora's 5 bags of marbles each contain 4 large marbles and the same number of small marbles. Altogether, the bags contain 99 marbles.

• Livi is baking five batches of muffins. Each batch needs the same amount of sugar in the muffins, and each batch needs four extra teaspoons of sugar for the topping. Livi uses 99 total teaspoons of sugar.

At tennis practice, Henry does twice as many push-ups as Shepard, and he also does 40 jumping jacks. He does 62 exercises in total. The equation 2x+40=62 describes this situation. What does the variable x represent?

• The number of jumping jacks Henry does

• The number of push-ups Henry does

• The number of jumping jacks Shepard does

• The number of push-ups Shepard does