Download Algebra 1: Test #3 --- REVIEW---3 Show needed work, and write

Algebra 1: Test #3 --- REVIEW---3
Show needed work, and write your answers using capital block style letters.
1. Which of the following is a factor of
6. Which of these is equivalent to the expression
below?
?
?
A
B
C
D
2. Which of these is not prime over the set of rational
numbers?
A
B
C
3. Which is equivalent to the algebraic expression
shown below?
B Step
1
C Step
3
D Step
A Step
A –86
y
y = 4x– 2
B
D
2
B Step
4
C Step
1
D Step
3
B 22
C –14
D 94
11. What is the factored form of the expression?
4
3
2
1
A
C
10. Which of these is equivalent to the expression
below when c = –6?
4
5. Which of the following equations represents the
line through (2,6) and (0,–2) graphed below?
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
B
9. Devin solved the equation below using the steps
shown.
Given:
2(c + 2) + 12 = 6
Step 1:
2c + 4 + 12 = 6
Step 2:
2c + 16 = 6
Step 3:
2c = 22
Step 4:
c = 11
Which step contains Devin’s FIRST mistake?
4. Devin solved the equation below using the steps
shown.
Given:
3(m - 5) + 8 = 7
Step 1:
3m - 15 + 8 = 7
Step 2:
3m + 23 = 7
Step 3:
3m = 10
Step 4:
m = 3.3
Which step contains Devin’s FIRST mistake?
2
D
A
D
A Step
C
8. Solve by completing the square.
B
C
B
7. What value of x makes the equation x – 11 = 12
true?
A –23 B 1 C 23 D none of these
D
A
A
A
1 2 3 4 5 6 7 8
1
y =  x+ 6
4
B
C
x
D
12. Which of the following is a factor of
A
C
1
y = x+ 6
4
D
y = 4x– 2
B
C
D
13. Which of these is prime over the set of rational
numbers?
A
B
C
D
Short Answer
14. What is the solution set for the equation
?
15. What is the next step for solving this equation by
factoring?
?
(m + 2)(m – 5) = 0
16. What is a equal to in this equation?
–3m2 + 9m – 9 = 0
17. What is the next step for solving this equation by
graphing on the calculator?
y2 – 8 = 2y
34. Solve the equation by using the Quadratic Formula.
Round to the nearest tenth if necessary.
18. What is the next step for solving this equation by
factoring?
2v2 – 4v – 30 = 0
35. How do you find the vertex?
19. What is the solution set of the equation below?
20. What is the next step for solving this equation
using the quadratic formula?
w2 – 6 = –w
21. What is the product of the solutions of the equation
below?
22. What is the solution set of the equation below?
23. When written in standard form, what is the
quadratic term of this equation?
8x2 + 6 = –7x
24. Solve by factoring
?
25. What is the next step for solving this equation by
factoring?
y2 – 20 = – y
26. What is the vertex for this function?
y = x2 + 20x + 50
27. When written in standard form, what is the linear
term of this equation?
8m2 + 6 = – 6m
28. What is the sum of the solutions for the equation
?
29. Write the steps for solving a quadratic equation by
factoring.
30. What is the solution set of the equation below?
31. What would be the first step for finding the vertex
for this function?
y = x2 + 12x + 18
32. What formula do you use to find the axis of
symmetry?
33. What is the standard form of a quadratic equation?
36. When written in standard form, what is the constant
of this equation?
–8x2 + 6 = – 8x
37. Find the vertex of
38. What is the next step for solving this equation by
factoring?
n2 + n – 6 = 0
Algebra 1: Test #3 --- REVIEW---3
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
C
C
D
A
D
A
C
D
D
D
C
D
A
SHORT ANSWER
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
or
–3
y2 –2y – 8 = 0
2(v + 3)(v – 5) = 0
w2 + w – 6 = 0
8x2
y2 + y – 20 = 0
(–10 , –50)
6m
add
a
d
32.
33. ax2 + bx + c = 0
34.
35. d
36. 6
37.
38.