Algebra II Unit 1 REVIEW
1. Write the verbal expression that represents “2 less than five times a number”.
2. Evaluate 3b(4a
3. Evaluate
4. Simplify
5. Simplify
c2) if a
a  9  2b
c2
if a
8, b
3, b
1 , and c
2, and c
1
4
15x  33  10 x  25
3
5
-8(x - 1)
3 (12x
16).
3.
-3.
6. If a ¤ b = a2 – b(a +b), what is the value of 4 ¤ 2 ?
7. You were given the formula W = Y – (X + 4Z), you know W = -6, X = 2, Y =20,
what is Z?
8. What is the perimeter of the figure below?
3a  6b
3a  6b
3a
b
b
3a
b
2a
9. Using the formula W 
20(n  6)
, find n, if W = 5
n
10.
Solve 6 – 3(2x - 4) = -42
11.
Solve the equation and then mark your answer in the griddable below. Only
answers marked and bubbled on the grid will be graded. Round to the nearest
hundredth.
6(2x 2) 10x+ 40
12. Solve the equation and then mark your answer in the griddable below. Only
answers marked and bubbled on the grid will be graded.
2 - (3x + 4) = 13x – 10
13. The formula for the volume of a cylinder is
Solve the formula for h.
V   r 2h
14. At Walmart koozies sell for $4 and water bottles sell for $8. Kara spent
$100 on water bottles and koozies and bought twice as many water bottles as
koozies. How many koozies did she buy?
15. Each leg of an isosceles triangle is three times the length of the base. If the
perimeter of the isosceles triangle is 56 feet, what is the length of the base?
2𝑥 + 4
16.
Solve and graph the inequality: 12 > 4x - 8.
17.
Solve and graph the inequality:
18.
Solve and graph the inequality:
5x – 11 > 4
2 x  6
2
4
19. Admission to the park is free and the first ride costs $10.00. Each additional
ride costs $6. What is the maximum number of rides you can ride if you bring
$76 with you to the park?
20.
Solve and graph the absolute value inequality:
x  4  12
21.
Solve & graph the compound inequality
22.
Solve & graph the compound inequality 3x
23.
Solve & graph the compound inequality
24.
Solve the equation
x  8  20  5
25.
Solve the equation
20  2 5 x  5
24
3
3y
12 or 7
-7 < 2x – 1 ≤ 5
12
30
x
1
Algebra II Unit 1 Review Answer Key
1.) 5 x  2
2.)  69
10
3.)
9
4.) 13 x  9
5.) 28 x  40
6.) 4
18 9

4 2
8.) 14a  9b
7.) z 
9.) n  10
10.) x  10
11.) x  26
8 1

16 2
V
13.) h  2
r
14.) 5 koozies & 10 water bottles
12.) x 
15.) each leg  6 x  12, x  2, so base is 8 ft.
16.) 5  x
17.) x  3
18.) x  7
19.) 12 rides
20.) x  8 or x  16
21.)  12  y  6
22.) x  5 or x  8
23.)  3  x  3
24.)  , reason : x  8  4
25.) x  1 and x  3
16