Algebra II Unit 1 REVIEW
1. Write the verbal expression that represents “twice the difference of a number and
five”.
2. Evaluate 2b(4a
3. Evaluate
4. Simplify
5. Simplify
c2) if a
a  9  2b
c2
if a
8, b
5, b
5
, and c
2
4, and c
3.
-2.
1
2
16 x  20  10 x  20 
4
5
-8(x
1)
½ (12x
16).
6. If a ¤ b = a2 – b(a +b), what is the value of 3 ¤ 9 ?
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?
6a  8b
6a  8b
3a
3a
4a
9. Using the formula W 
20(n  6)
, find n, if W = 10
n
10.
Solve 6 – 3(2x - 4) = 30
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.
5(4x 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 r.
V   r 2h
14. At the county fair hot dogs sell for $3 and hamburgers sell for $7. Bob spent
$57 on hot dogs and hamburgers and he bought 4 times as many hot dogs as
hamburgers. How many hamburgers did he buy?
15. Each leg of an isosceles triangle is twice the length of the base. If the
perimeter of the isosceles triangle is 70 feet, what is the length of one leg of
the base?
2𝑥 + 4
16.
Solve and graph the inequality: 12 > 5x - 8.
17.
Solve and graph the inequality:
18.
Solve and graph the inequality:
3x – 8 > 4.
3x  6
2
6
19. Admission to the park is free and the first ride costs $8.00. Each additional
ride costs $3. What is the maximum number of rides you can ride if you bring
$44 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 9  5
25.
Solve the equation
34  2 5 x  7
24
6
3y
12 or 9
-7 < 2x – 1 ≤ 5
6
x
30
1
Algebra II Unit 1 Review Answer Key
1.) 2( x  5)
2.) 115
3.) 3
4.) 8 x  3
5.)  2 x  16
6.)  99
7.) z  8
8.) 22a  13b
9.) n  12
10.) x  2
11.) 5
12.) 1
v
h
14.) 3 hamburgers and 12 hotdogs
13.) r 
15.) each leg  4 x  8, x  5, so base is 14 ft.
16.) 4  x
17.) x  4
18.) x  6
19.) 13 rides
20.) x  8 or x  16
21.)  10  y  8
22.) x  6 or x  10
23.)  3  x  3
24.)  , reason : x  8  4
25.) x 
24
4
 4 and x  2
5
5
16