Download Chapter 6 REVIEW

Chapter 6 REVIEW
Multiple Choice
Solve the equation.
1.
a.
b.
c.
d.
36
–2
10
–36
Find the slope of the line that passes through the
pair of points.
Simplify the expression.
2. (2, 4), (6, –3)
a.
4

7
b.
7

4
c. 4
7
d. 7
4
3.
a.
b.
c.
d.
1
–4.1
0
–1
a.
b.
c.
d.
4.
a.
b.
c.
d.
5. Evaluate
a. –11
b. 1
c. –6
d. 11
x-intercept is 3; y-intercept is 7.
x-intercept is 7; y-intercept is 3.
x-intercept is -3; y-intercept is 7.
x-intercept is 18; y-intercept is 14.
7. Evaluate
a. –6
b. –10
c. 10
d. 6
for x = 3.
Find the x- and y-intercept of the line.
6. 3x + 7y = 21
for x = 2 and y = –4.
Write an equation of a line with the given slope
and y-intercept.
8. m = –1, b = –5
a. y = –5x – 1
b. y = –x – 5
c. y = –x + 5
d. y = 1x – 5
Short Answer
9. Find a solution to the following system of equations.
Tell whether the system has no solution, one solution, or infinitely many solutions.
10. y = x + 2
y=x+4
11. y = –3x – 5
y = 4x + 2
Solve the system of equations using substitution.
12. 2x + 4y = 4
y = –2x + 10
For #13, solve the system using elimination.
13. 5x + 7y = -5
4x + 7y = -7
For #14 you may solve using any method you like.
14. 3x + 2y = -19
x - 12y =19
Write the linear inequality shown in the graph.
15.
y
_______________________________
4
16. Write the following inequality in slope-intercept
form.
2
–4
–2
O
2
4
x
–2
–4
Graph the inequality.
17.
18. What is the solution of the system of equations?
y = 5x + 10
y = 4x – 6
Graph the system of linear inequalities and WRITE ONE solution of the system.
19.
one solution is (
,
)
,
)
.
20.
one solution is (
Chapter 6 REVIEW
Answer Section
MULTIPLE CHOICE
1. ANS: B
PTS: 1
DIF: L3
REF: 2-1 Solving Two-Step Equations
OBJ: 2-1.1 Solving Two-Step Equations STA: CA A1 5.0 | CA A1 25.0
KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality |
solving equations | two-step equation | fractions
2. ANS: B
PTS: 1
DIF: L2
REF: 5-1 Rate of Change and Slope
OBJ: 5-1.2 Finding Slope
STA: CA A1 6.0 | CA A1 7.0 | CA A1 8.0
TOP: 5-1 Example 4
KEY: finding slope using points | slope
3. ANS: A
PTS: 1
DIF: L2
REF: 7-1 Zero and Negative Exponents
OBJ: 7-1.1 Zero and Negative Exponents
STA: CA A1 2.0
TOP: 7-1 Example 1
KEY: zero as an exponent | negative exponent | simplfying a power
4. ANS: A
PTS: 1
DIF: L2
REF: 7-4 More Multiplication Properties of Exponents
OBJ: 7-4.2 Raising a Product to a Power
STA: CA A1 2.0 | CA A1 10.0
TOP: 7-4 Example 4
KEY: raising a product to a power | exponential expression | simplifying an exponential expression
5. ANS: A
PTS: 1
DIF: L2
REF: 4-3 Function Rules, Tables, and Graphs
OBJ: 4-3.1 Function Rules to Tables and Graphs
STA: CA A1 16.0 | CA A1 17.0 | CA A1 18.0
TOP: 4-3 Example 1
KEY: function
6. ANS: D
PTS: 1
DIF: L2
REF: 5-3 Standard Form
OBJ: 5-3.1 Graphing Equations Using Intercepts
STA: CA A1 6.0
TOP: 5-3 Example 1
KEY: standard form of a linear equation | x-intercept | y-intercept
7. ANS: D
PTS: 1
DIF: L3
REF: 1-5 Subtracting Real Numbers
OBJ: 1-5.2 Applying Subtraction
STA: CA A1 1.0 | CA A1 2.0
KEY: absolute value | real numbers
8. ANS: B
PTS: 1
DIF: L2
REF: 5-2 Slope-Intercept Form
OBJ: 5-2.1 Writing Linear Equations
STA: CA A1 6.0 | CA A1 7.0
TOP: 5-2 Example 2
KEY: linear equation | slope | y-intercept
SHORT ANSWER
9. ANS:
(2, 0)
PTS: 1
DIF: L3
REF: 6-1 Solving Systems By Graphing
OBJ: 6-1.1 Solving Systems By Graphing
STA: CA A1 9.0
TOP: 6-1 Example 1
KEY: system of linear equations | graphing a system of linear equations
10. ANS:
no solutions
PTS:
OBJ:
TOP:
KEY:
1
DIF: L2
REF: 6-1 Solving Systems By Graphing
6-1.2 Analyzing Special Types of Systems
STA: CA A1 9.0
6-1 Example 4 | 6-1 Example 5
system of linear equations | graphing a system of linear equations | no solution | infinitely many solutions
11. ANS:
one solution
PTS: 1
DIF: L2
REF: 6-1 Solving Systems By Graphing
OBJ: 6-1.2 Analyzing Special Types of Systems
STA: CA A1 9.0
TOP: 6-1 Example 4 | 6-1 Example 5
KEY: system of linear equations | graphing a system of linear equations | no solution | infinitely many solutions
12. ANS:
(5, –4)
PTS: 1
DIF: L3
REF: 6-2 Solving Systems Using Substitution
OBJ: 6-2.1 Using Substitution
STA: CA A1 9.0
TOP: 6-2 Example 2
KEY: system of linear equations | substitution method
13. ANS:
(2, –8)
PTS: 1
DIF: L2
REF: 6-3 Solving Systems Using Elimination
OBJ: 6-3.1 Adding or Subtracting to Solve Systems
STA: CA A1 9.0
TOP: 6-3 Example 1
KEY: system of linear equations | elimination method | adding or subtracting equations
14. ANS:
(–9, 2)
PTS:
OBJ:
TOP:
KEY:
15. ANS:
1
DIF: L2
REF: 6-3 Solving Systems Using Elimination
6-3.2 Multiplying First to Solve Systems
STA: CA A1 9.0
6-3 Example 3
system of linear equations | elimination method | adding or subtracting equations
PTS: 1
DIF: L2
OBJ: 6-5.1 Graphing Linear Inequalities
KEY: linear inequality | graphing
16. ANS:
REF: 6-5 Linear Inequalities
STA: CA A1 6.0
TOP: 6-5 Example 1
PTS: 1
DIF: L2
REF: 6-5 Linear Inequalities
OBJ: 6-5.1 Graphing Linear Inequalities STA: CA A1 6.0
TOP: 6-5 Example 2
KEY: linear inequality | slope-intercept form
17. ANS:
y
4
2
–4
–2
O
2
4
x
–2
–4
PTS: 1
DIF: L2
OBJ: 6-5.1 Graphing Linear Inequalities
KEY: linear inequality | graphing
18. ANS:
(–16, –70)
REF: 6-5 Linear Inequalities
STA: CA A1 6.0
TOP: 6-5 Example 1
PTS: 1
DIF: L2
REF: 6-1 Solving Systems By Graphing
OBJ: 6-1.1 Solving Systems By Graphing
STA: CA A1 9.0
TOP: 6-1 Example 1
KEY: system of linear equations | graphing a system of linear equations
19. ANS:
(2, 17)
PTS:
OBJ:
STA:
KEY:
20. ANS:
1
DIF: L2
REF: 6-6 Systems of Linear Inequalities
6-6.1 Solving Systems of Linear Inequalities by Graphing
CA A1 9.0
TOP: 6-6 Example 1
linear inequality | graphing | system of linear inequalities | graphing a system of linear inequalities
y
4
2
–4
O
–2
2
4
x
–2
–4
PTS: 1
DIF: L2
REF: 6-6 Systems of Linear Inequalities
OBJ: 6-6.1 Solving Systems of Linear Inequalities by Graphing
STA: CA A1 9.0
TOP: 6-6 Example 1
KEY: linear inequality | graphing | system of linear inequalities | graphing a system of linear inequalities