Name:_______________________
Classwork/Homework
Cumulative Review!
Evaluate each expression for the given values.
1) √𝑥 − |−3(𝑥 + 5)| − 3𝑥, if 𝑥 = −8
3
2) |𝑚𝑛 + 𝑛| − 𝑛2 if 𝑛 = −1 and 𝑚 = 3
Solve each multistep equation.
3) 2(4𝑥 − 3) − 8 = 4 + 2𝑥
4) 3𝑛 − 5 = −8(6 + 5𝑛)
Write the equation of the line ( y=mx+b) given the information provided.
5) Slope = undefined, passing
through (−4, −3)
7) (−1, 3); (8,0)
6) Passes through (5, −1) with a
y-intercept of 4.
Find the range of each function given the domain.
8) 𝑓(𝑥) = −2𝑥 2 + 3 given
{−3,0,2}
9) 𝑔(𝑥) = 4 − 𝑥 3 given
{−2, −1, 0, 2}
10) Find the slope of the line parallel to the equation below:
−5𝑥 + 3𝑦 = 15
11) Find the slope of the line perpendicular to the equation below:
−7𝑦 − 4𝑥 = 28
Find the zeros of each function. (Replace 𝑓(𝑥) with 0 and solve using DCMAD)
3
12) 𝑓(𝑥) = − 𝑥 + 9
13) 𝑔(𝑥 ) =
4
𝑥−8
−4
Evaluate each function for the given value.
14) 𝑓(𝑥) =
√8−𝑥
3
for 𝑓(−1)
15) ℎ(𝑥) = −2𝑥 2 − 𝑥 for ℎ(−2)
16) Name a solution to the equality below:
9𝑥 − 9 − 𝑥 = −𝑥 − 18
Find the domain and range given the graphs below.
17)
18)
19) Circle all of the graphs that represent functions.
20) Find the x-intercept and y-intercept of the equation below:
−3𝑥 − 4𝑦 = −24
Graph the equality or system of equalities on the coordinate planes provided.
21) 𝑦 = −5𝑥 + 3
𝑦 = −2
22) 𝑥 + 3𝑦 = 6
23) Is the relation below a function?
24) Solve the equality and graph the solution on the number line provided:
25 = −5(𝑥 + 4)
25) Rewrite the following equality with y by itself: 5𝑥 − 𝑦 = 6
26) Translate into an algebraic expression:
The square of a number decreased by the quotient of a number and two
27) Write the equation of the line shown on the graph below: