unit test review

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

x = -14

Solve the equation. 2x − 3 + 4x = 21

x = 4

Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below. What is the other solution to the equation?

x=−4

What is the value of p in the linear equation 24p + 12 -18p = 10 + 2p - 6?

−2

The solution is n = -2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?

-0.8 = -0.8

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends 1/15 of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1/10 of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

1/15(10h + 60) = 1/10(10h)

To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm. Which inequality can be used to represent the lengths of the glass that will fit in the frame?

12 < x ≤ 12.2

Sara wants to find the input value that produces the same output for the functions represented by the tables. What is the input value that produces the same output value in both charts?

2

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p - 10.1 = 6.5p - 4 - 0.01p? Select two options.

2.3p - 10.1 = 6.49p - 4 230p - 1010 = 650p - 400 - p

Consider the equation 5/3v + 4 + 1/3v = 8. What is the resulting equation after the first step in the solution?

2v + 4 = 8

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) = 1/2(3 - x)

Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x - 4.75) = 629.9. She left out the description for the last step. What is the missing step of her solution?

Divide both sides of the equation by 10.4.

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

infinitely many

What is the solution to 3|-3x + 9| = -18?

no solution

Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?

x + 30 = 10 and x + 30 = -10