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Practice Questions for the Math Algebra Section

Topic 5: Graphing

5.1. The graph of crosses the y-axis at

(a) -2/3
(b) 2
(c) 3/2
(d) 2/3
(e) -2

5.2. The graph of is a:

(a) circle
(b) line
(c) parabola
(d) hyperbola
(e) none of these

5.3. Which of the following points lies on the graph of ?

(a) (0,0)
(b) (0,1)
(c) (1,-1)
(d) (1,1)
(e) (2,0)

5.4. The graph of crosses the x-axis at

(a) 1
(b) -2
(c) 0
(d) 2
(e) ½

Topic 6: Absolute Value

6.1 Which of the following specifies ALL the solutions, x , of: ?

(a) 2 only
(b) -2 only
(c) 2 and -2
(d) 4
(e) none of these

6.2. Solve for x : .

(a) -2 only
(b) -2 and -4
(c) -4 only
(d) 1 only
(e) 1 and -2

Topic 7: Quadratic Equations

7.1. The SUM of the solutions of is

(a) 0
(b) 3
(c) 4
(d) 1
(e) -1

7.2. The number of real (i.e. not complex) solutions of is

(a) 0
(b) 1
(c) 2
(d) 3
(e) none of these

7.3. One solution of is

Topic 8: Linear Inequalities

8.1. The inequality is equivalent to


(e) none of these

8.2. The inequality is equivalent to


(e) none of these

Topic 9: Simultaneous Equations

9.1. In the system of equations: , the value of y is:


9.2. If and satisfy the system: , then the SUM of x and y
is:

(a) 0
(b) 4
(c) 6
(d) 7
(e) -2

Topic 10: Function Notation

10.1. If , then

(a) 2
(b) ½
(c) -1/2
(d) -2
(e) undefined

10.2. If , then


(e) undefined

Answer Key

Topic 1: Arithmetic

1.1) c
1.2) b
1.3) e
1.4) e
1.5) a

Topic 2: Solving Linear Equations

2.1) d
2.2) b
2.3) b
2.4) e
2.5) e

Topic 3: Algebraic Manipulations

3.1) b
3.2) d
3.3) a
3.4) d
3.5) b
3.6) a
3.7) e

Topic 4: Exponents

4.1) e
4.2) e
4.3) b
4.4) b
4.5) d

Topic 5: Graphing

5.1) d
5.2) b
5.3) b
5.4) d

Topic 6: Absolute Value

6.1) c
6.2) b

Topic 7: Quadratic Equations

7.1) e
7.2) a
7.3) e

Topic 8: Linear Inequalities

8.1) d
8.2) a

Topic 9: Simultaneous Equations

9.1) c
9.2) d

Topic 10: Function Notation

10.1) d
10.2) d