Answers EAP-Algebra Functions and Data Analysis A CRTest

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Solve the equation.–x + 8 + 3x = x – 6

x = –18

x = –14

x = 2

x = 4

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Ingrid mixes 3.6 pounds of almonds with some raisins to make a trail mix. She divides the trail mix into 12 equal portions. Each portion weighs 0.7 of a pound. How many pounds of raisins did she use to make the trail mix? Express the answer to the nearest tenth.

2.9

4.8

5.1

7.2

A cycling race is 17 miles long. The cyclists will begin at point S and ride a number of laps around a neighborhood block. After the last lap, the cyclists will sprint 2.0 miles to the finish line. Using the equation , the race’s organizer determined the cyclists will need to ride 9 laps before the sprint to the finish. Which explains the error?

The equation should be , and the cyclists will need to ride 12 laps before the sprint to the finish.

The equation should be , and the cyclists will need to ride 21 laps before the sprint to the finish.

The solution should be 6, and the cyclists will need to ride 6 laps before the sprint to the finish.

The solution should be 8, and the cyclists will need to ride 8 laps before the sprint to the finish.

The equation |p| = 2 represents the total number of points that can be earned or lost during one turn of a game. Which best describes how many points can be earned or lost during one turn?

–2

0 or 2

–2 or 2

Mr. Valenzuela’s new bottle of shampoo contains 60 ounces of shampoo. He uses ounce of shampoo each time he washes his hair. Which equation can be used to find x, the number of washes after which 24 ounces will remain in the bottle?

One-fourth x minus 60 equals 24

60 minus one-fourth x equals 24

One-fourth x minus 24 equals 60

24 minus one-fourth x equals 60

Katie ordered candles that cost $3 each from a website. She was charged a flat shipping fee of $6 and no sales tax. If she spent a total of $54, which equation can be used to find c, the number of candles she ordered?

3c = 54

6c = 54

3c + 6 = 54

3c – 6 = 54

Rami is solving the equation for x .–6x – 1 = 5–6x – 1 1 = (5 1)–6x = 6–6x – 6 = 6 –6x = –1

should contain +; should contain ×

should contain +; should contain ÷

should contain –; should contain ×

should contain –; should contain ÷

How many solutions exist for the given equation?3(x + 10) + 6 = 3(x + 12)

zero

one

two

infinitely many

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?

6 + 2(x + 4) = (3 – x)

6 + 2(x + 4) = (x – 3)

(6 + 2)(x + 4) = (3 – x)

(6 + 2)(x + 4) = (x – 3)

Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?

(x + 30 + 60) = x

(x) = x(30 + 60)

x(30 + 60) = x

(x) = (30 + 60)

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

(10h + 60) = (10h)

(10h + 60h) = (10h)

h(10 + 60) = h(10)

(10 + 60h) = (10h)

What is the value of p in the linear equation ?

−4

−2

Marina is solving the equation below by using the multiplicative inverse, or the reciprocal.By which number should Marina multiply both sides of the equation as the first step in solving it?