Unit Test — Unit test Answers

Free Preview

Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and knitting needles was $69. Tamara writes an equation that represents the cost of each pair of knitting needles. If k represents the cost of each pair of knitting needles, which statements about verifying the value of k are true? Check all that apply.

Tamara should substitute into the equation .

After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is equal to the right side.

Tamara should substitute into the equation .

After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is not equal to the right side.

To verify the solution to the equation, Tamara multiplies the solution by 2 and then adds it to 39. Then, she checks that it is equal to 69.

To verify the solution to the equation, Tamara adds the solution to 2 and then adds it to 69. Then, she checks that it is equal to 39.

Free Preview

What is the value of x in the equation ?

Answer not available

What is the value of x in the equation ?

–6

–2

Carlton is solving a linear equation using the steps shown.Equation: Step 1: Add 4x to both sides: Step 2: Combine like terms: What is the next step he needs to complete in order to solve the equation?

Add –2 to both sides of the equation.

Subtract –2 from both sides of the equation.

Multiply each side of the equation by –2.

Divide each side of the equation by –2.

What is the least common denominator of the equation ?

Alicia is solving the equation . Which equations represent possible ways to begin solving for x? Check all that apply.

2.3 x minus 10.4 = negative 2.9 x

5.2 x minus 1.6 = 8.8

Negative 6.5 x minus 1.6 = negative 2.9 x

2.3 x + 1.3 = 8.8

2.3 x = 10.4 minus 2.9 x

Which equations shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation ? Select two options.

x = 5

–15 = –5x

5x = 15

–15 = 5x

x = -5

Joan is buying airline tickets for her family. Each airline ticket costs $232 with a baggage fee of $13. The airline charges a booking fee of $45 for the entire set of tickets. Joan spent a total of $1,515. If x represents the number of tickets, which equation can be used to find the value of x?

245 + 45 x = 1,515

232 x + 45 x = 1,515

232 x + 45 = 1,515

245 x + 45 = 1,515

The perimeter of a rectangle is 64 feet. The length of the rectangle is 3 times the width of the rectangle. If w represents the width of the rectangle, the equation that represents the perimeter is . Which shows the first step that should be taken to verify that the width of the rectangle is 8?

2 (8) + 2 (8) = 64

2 (3 + 8) + (2 + 8) = 64

2 (3 (8)) + 2 (8) = 64

2 (3 + 8) + 2 (8) = 64

Solve for w.5w + 9z = 2z + 3w

w = z

w = z

w = –2z

w = –7z

Which is the solution to the equation ? Round to the nearest tenth if necessary.

0.9

3.4

5.1

20.2

The expression on the left side of an equation is shown below.If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation?

–6

Negative 6 x

Negative 6 x + 6

What is the value of x in the equation ?

–22

–2

The expression on the left side of an equation is shown below.If the equation has no solution, which expression can be written in the box on the other side of the equation?

3 (x + 4)

2 (x + 6) + x

4(x – 3) – x

3 (x + 1) + 9 x

What is the solution to the equation ?

x = –10

x = –8

x =

Manuela solved the equation below.What is the solution to Manuela’s equation?

–8

no solution

infinitely many solutions

The equation d = can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equation solved for V?

dm = V

= V

= V

m – d = V

Jolianne worked half as many hours as Andrew. Jolianne makes $10 per hour and has saved $27. Andrew makes $8 per hour and has no money saved. After getting paid, they have the same amount of money. Andrew’s Table for Comparing MoneyNameRate of pay(per hour)Hours workedJolianne10Andrew8tAndrew’s equation: Jolianne’s Table for Comparing MoneyNameRate of pay(per hour)Hours workedJolianne10tAndrew82t Jolianne’s equation: Andrew claims that only his table and equation are correct, but Jolianne claims that both tables and equations are valid. Which statement regarding their claims is true?

Andrew is correct because t cannot be used to represent the number of hours Jolianne worked.

Andrew is correct because Jolianne worked half as many hours as he did and he did not work twice as many hours as she did.

Jolianne is correct because if one lets t = hours Andrew worked, then his equation is valid. If one lets t = hours Jolianne worked, then Andrew worked twice as many so her equation is valid, too.

Jolianne is correct because when solving t in her equation, t = hours Jolianne worked, and when solving for t in Andrew’s equation, t = hours Jolianne worked so they are equal.

This is Daniela’s work to solve the equation .Which property did Daniela need to use to avoid her error?