1.
what is the value of b in the equation b + 8 = 13? (4 points)
5
8
13
21
2.
how many solutions can be found for the equation 3x – 2 = 3x + 5? (4 points)
zero
one
two
infinitely many
3.
what is the value of q in the equation 5q – 10 = 75? (4 points)
17
60
65
85
4.
what is the value of t in the equation 3(2t + 5) = 5t + 25? (4 points)
5
6
10
35
5.
the steps below show the incomplete solution to find the value of x for the equation 6x – 2x – 5 = –6 + 21:
step 1: 6x – 2x – 5 = –6 + 21
step 2: 6x – 2x – 5 = 15
step 3: 4x – 5 = 15which of these is most likely the next step? (4 points)
4x = 10
4x = 3
4x = 45
4x = 20
6. asher solved the equation below:
4x = 64
4x – 4 = 64 – 4
x = 60
is asher's solution correct? if the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (5 points)
7.
an equation is shown below:
5(2x - 8) + 15 = -15
write the steps you will use to solve the equation and explain each step. (5 points)

Adecorative window is made up of a rectangle with semicircles at either end. the ratio of ad to ab is 3: 2 and ab is 30 inches. what is the ratio of the area of the rectangle to the combined area of the semicircles? possible answers: a. 2: 3 b. 3: 2 c. 6: π d. 9: π e. 30: π

Write the equation of a line that is perpendicular to the given line and that passes through the given point. –3x – 6y = 17; (6, 3) y = x – 9 y = 2x – 9 y = –2x – 9 y = x + 0 3. is the relationship shown by the data linear? if so, model the data with an equation. x y 1 5 5 10 9 15 13 20 the relationship is linear; y – 5 = (x – 1). the relationship is not linear. the relationship is linear; y – 5 = (x – 1). the relationship is linear; y – 1 = (x – 5). write an equation in point-slope form for the line through the given point with the given slope. (–10, –1); m = y + 10 = (x + 1) y – 1 = (x – 10) y – 1 = (x + 10) y + 1 = (x + 10) 5. write an equation for each translation of . 6.5 units up y + 6.5 = | x | y = | 6.5 x | y = | x | + 6.5 y = | x | – 6.5 6. write an equation for each translation of . 5.5 units right y = | x | + 5.5 y = | x – 5.5 | y = | x | – 5.5 y = | x + 5.5 | 7. which equation translates y = | x | by 8 units to the left? y = | x | – 8 y = | x | + 8 y = | x – 8| y = | x + 8|

Solve the following system of equations express your answer as an ordered pair in the format (a, b) with no spaces between the numbers of symbols 5x+2y=22