Name:____________________________________________________________________________ Benchmark Review 2

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Name:____________________________________________________________________________
Benchmark Review 2
1) Tom bought 3 markers and 6 pens for $3.75. Emily bought 7 markers and 2 pens for $4.55. How much does
each marker and pen cost?
3(2𝑥 – 1) ≤
2) Solve and graph the inequality.
3𝑛−5
3
3) Solve for n.
2
(6𝑥
3
+ 18)
= 6𝑐 + 1
4) Write the equation of the line in slope-intercept form and standard form.
5) What is the slope of
1
𝑥
3
− 4𝑦 = 10?
6) Solve the system.
7) Find the root of 𝑓(𝑥) =
4𝑥 – 2𝑦 = −20
7𝑥 + 5𝑦 = −1
1
𝑥
4
8) State the domain and range.
+ 6
9) Determine if it is direct or inverse variation. State the equation.
7
a) (-2, 4) (6, -12) (9, -18)
b) y = 𝑥
c) Your family traveled 300 miles in 4 hours.
After 6 hours, you traveled 450 miles?
10) Identify which are not functions?
a) y = 2
b) x = -5
2𝑥−4
11) Solve.
4
12) Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
=
c) (1, 2) (-4, 3) (1, 4) (0, 8)
d)
6𝑥−3
10
12 = 4(x – 3)
12 = 4x – 12
24 = 4x
4x = 24
x=6
a) Which property is being demonstrated between Steps 2 and 3?
b) Which property is being demonstrated between Steps 3 and 4?
13) a) Which section would be shaded?
𝑦 > 2𝑥 + 2
𝑦 ≤ −
b) List 2 points that are solutions to the system.
2
2
𝑥 + 2
3
3
1
4
14) Find f(
3
) when f(x) = 8x2 – 4x + 1
4
Answer Key
1) Marker = $0.55
2) x ≤
3) n =
Pen = $0.35
15
2
18𝑐+8
3
or
6c +
8
3
1
2
4) 𝑦 = − 𝑥 + 3
5)
1
12
6) (-3, 4)
7) -24
8) D: all real numbers
9) a) direct y = -2x
R: y > 1
b) inverse xy = 7
10) b, c, d
11) -7
12) a) Addition Property of Equality
13) Section 1
b) Symmetric
c) direct y = 75x
14)
5
2
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