Unit Test - Math

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 -0.8 = -0.8 3 = 3 -3 = -3

-0.8 = -0.8

What value of x is in the solution set of -2(3x + 2) > -8x + 6? -6 -5 5 6

-6

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? 1/4(x + 30 + 60) = x 1/4(x) = x(30 + 60) 1/4x(30 + 60) = x 1/4(x) = (30 + 60)

1/4(x + 30 + 60) = x

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 -1 1 2

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 = 6.4p - 4 2.3p - 10.1 = 6.49p - 4 230p - 1010 = 650p - 400 - p 23p - 101 = 65p - 40 - p 2.3p - 14.1 = 6.4p - 4

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

Consider the equation v + 4 + v = 8. What is the resulting equation after the first step in the solution? v +4 = 8 - v v +4 = 8 4 + v = 8 - v 2v + 4 = 8

2v + 4 = 8

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? Add 10.4 to both sides. Add negative 10.4 to both sides. Multiply both sides of the equation by 10.4. Divide both sides of the equation by 10.4.

Multiply both sides of the equation by 10.4.

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

infinitely many

At a pumpkin patch, if Armando guesses the weight of his pumpkin within 0.3 pounds, he gets to take the pumpkin home for free. If his pumpkin weighs 4.9 pounds, which two equations can be used to find the minimum and maximum weights he can guess in order to get his pumpkin for free? x - 0.3 = 4.9 and x - 0.3 = -4.9 x + 0.3 = 4.9 and x + 0.3 = -4.9 x + 4.9 = 0.3 and x + 4.9 = -0.3 x - 4.9 = 0.3 and x - 4.9 = -0.3

x - 4.9 = 0.3 and x - 4.9 = -0.3

On the freeway, it is unsafe to drive too slowly or too quickly. The safest driving speeds on the freeway near Allan's town were scientifically determined to be between the minimum and maximum speeds (in miles per hour) according to the equation |x - 55| = 4.2. Which equation can be used to determine the maximum safe driving speed? x - 55 = 4.2 x - 55 = -4.2 x + 55 = 4.2 x + 55 = -4.2

x - 55 = 4.2

Solve the equation. -x + 8 + 3x = x - 6 x = -18 x = -14 x = 2 x = 4

x = 2

Solve the equation. 2x − 3 + 4x = 21 x = −12 x = −6 x = 4 x = 6

x = 4

Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below. 3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5|=0.5 0.5x+1.5=0.5 0.5x=−1 x=−2 What is the other solution to the equation? x=−6 x=−4 x=2 x=4

x=−4

Solve the inequality. 2(4+2x)≥5x+5 x≤−2 x≥−2 x≤3 x≥3

x≤3

What is the solution to -4(8 - 3x) ≥ 6x - 8? x ≥ - x ≤ - x ≥ 4 x ≤ 4

≥ 4