Download Algebra I CST Review Practice #2

Algebra I CST Review Practice #2
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. What is the conclusion of the statement below?
If x2 = 25, then x = 5 or x = –5.
a.
b.
c.
d.
____
2. Which statement is false?
a.
b.
c.
d.
____
x2 = 25
x = 5 or x = –5
All square roots have positive and negative values.
25 is a perfect square.
If you live in Los Angeles, then you live in California.
If you live in San Francisco, then you live in California.
If you live in San Diego, then you live in California.
If you live in Califonia, then you live in Sacramento.
3. What is the hypthesis in the statement below?
If it is 32 degrees outside, then Julia must be cold.
a.
b.
c.
d.
____
It is 32 degrees outside.
Julia must be cold.
It is cold outside.
Julia should wear a very heavy coat to stay warm.
4. Which number serves as a counterexample to the following statement?
If 8 is not a factor of a number, then 4 is not a factor of the number.
a. 6
b. 12
____
5. Maria’s solution to a test question is shown below.
Given:
Step 1:
Step 2:
or
Step 3:
or
Which property of real numbers did Maria use for Step 2?
a.
b.
c.
d.
____
c. 18
d. 32
Addition Property of Equality
Division Property of Equality
Subtraction Property of Equality
Zero Product Property of Multiplication
6. Which is the first incorrect step in solving the following equation?
Given:
Step 1:
Step 2:
Step 3:
a. Step 1
b. Step 2
____
c. Step 3
d. Each step is correct.
7. When is the following statement true?
“Multiplying two proper fractions together results in a product greater than 0 and less than 1.”
a. This statement is always true.
b. This statement is never true.
c. This statement is true only for positive fractions less than 1 and for negative fractions that
are greater than –1.
d. This statement is true only when one fraction is positive and the other is negative.
____
8. What is the y-intercept of the equation 4y = 2x + 8?
a. –4
b. –2
____
c. 2
d. 8
9. Which equation is shown in the graph?
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a.
c.
b.
d.
____ 10. Which shows the graph of the equation y = 3x – 2?
y
a.
–5
–4
–3
–2
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–3
–2
–4
–3
–2
–1
–1
–2
–3
–3
–4
–4
–5
–5
y
–4
–5
–2
b.
–5
y
c.
5
4
4
3
3
2
2
1
1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
____ 11. What is the x-intercept of the equation 4x + 2y = 1?
a.
c.
b. 4
d.
____ 12. Which shows the graph of the equation –3x + 6y = 12?
2
3
4
5
x
1
2
3
4
5
x
y
d.
5
–1
–1
1
y
a.
–5
–4
–3
–2
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–3
–2
–4
–3
–2
–1
–1
–2
–3
–3
–4
–4
–5
–5
y
–4
–5
–2
b.
–5
y
c.
5
4
4
3
3
2
2
1
1
1
2
3
4
5
2
3
4
5
x
1
2
3
4
5
x
y
d.
5
–1
–1
1
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
____ 13. Which of the following points lies on the line defined by y = –3x + 5?
a. (–2, –1)
b. (1, 8)
c. (0, 2)
d. (2, –1)
____ 14. Which is the equation, in slope-intercept form, of the line that has a slope of 2 and passes through the point
(–4, 2)?
a. y = 2x + 4
b. y = 2x + 6
c. y = 2x + 8
d. y = 2x + 10
____ 15. Which equation below represents a line that is parallel to y = –3x + 2?
a. y = 3x + 2
b. y = –3x + 4
c. y = 3x + 4
d.
y= x+4
____ 16. Which of the following equations represents a line that is perpendicular to y =
a.
y=– x–5
c.
y=
x–4
x – 7?
b.
y=
d.
x+7
y=– x–5
____ 17. What is the solution to this system of equations?
a. (–2, –3)
b. (2, –3)
c. (–2, 3)
d. (2, 3)
____ 18. Which graph shows the solution to this system of inequalities?
y
a.
–5
–4
–3
–2
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–3
–2
–4
–3
–2
–1
–1
–2
–3
–3
–4
–4
–5
–5
y
–4
–5
–2
b.
–5
y
c.
5
4
4
3
3
2
2
1
1
1
2
3
4
5
x
2
3
4
5
x
1
2
3
4
5
x
y
d.
5
–1
–1
1
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
____ 19. What is the solution to the system of equations shown by the graph below?
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
x
5
–2
–3
–4
–5
a. (–4, 2)
b. (4, –2)
c. infinately many solutions
d. no solution
____ 20. Which graph shows the solutions to this system of inequalities?
y
a.
y
c.
25
25
20
20
15
15
10
10
5
5
–25 –20 –15 –10 –5
–5
5
10
15
20
25
x
–25 –20 –15 –10 –5
–5
–10
–10
–15
–15
–20
–20
–25
–25
5
10
15
20
25
x
y
b.
y
d.
25
25
20
20
15
15
10
10
5
5
–25 –20 –15 –10 –5
–5
5
10
15
20
25
x
–25 –20 –15 –10 –5
–5
–10
–10
–15
–15
–20
–20
–25
–25
____ 21. What is the simlpest form of the expression
5
10
15
20
25
x
?
a.
c.
b.
d.
____ 22. Find the difference of the expression below.
a.
b.
c.
d.
____ 23. The base of a triangle is
the triangle?
a.
b.
units long. The height of the triangle is
c.
d.
square units
square units
____ 24.
a.
c.
b.
d.
a.
c.
b.
d.
____ 25.
____ 26. What is the factored form of
?
square units
square units
units long. What is the area of
a.
b.
____ 27. What is the factored form of
a.
b.
c.
d.
?
c.
d.
____ 28. Which of the following shows
a.
b.
factored completely?
c.
d.
____ 29. Which of the following is a perfect square binomial?
a.
b.
____ 30. Which of the following shows
a.
b.
c.
d.
factored completely?
c.
d.
Algebra I CST Review Practice #2
Answer Section
MULTIPLE CHOICE
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