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UNIT 5
Study Guide
?
11
Review
4. There are s students enrolled in Mr. Rodriguez’s class. There are
Equations and
Relationships
Solve each equation. Check your answer. (Lessons 11.2, 11.3)
Key Vocabulary
equation (ecuación)
solution (solución)
solution of an inequality
(solución de una
desigualdad)
ESSENTIAL QUESTION
How can you use equations and relationships to solve real-world
problems?
Substitute.
7 ≠ 17
Substitute.
8. _27 = 2x
$2.50 per share.
15 inches long.
B. 5p = 30
+12 Add 12 to both sides.
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Check: 22 - 12 = 10
MODULE
MODULE
5p
30
__
= __
Divide both sides by 5.
5
5
p=6
y = 22
Substitute.
?
Check: 5(6) = 30
10 = 10
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Substitute.
30 = 30
EXAMPLE 3
Write and graph an inequality to represent each situation.
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x = 3.5
x = _17
x – 12.50 = 34.25; $46.75
s < 2.5
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
11. Tina got a haircut, and her hair is still at least
A. y - 12 = 10
A. There are at least 5 gallons of water in an
aquarium.
0 1 2 3 4 5 6 7 8 9 10
no
B. The temperature today will be less than
35 °F.
t < 35 30 31 32 33 34 35 36 37 38 39 40
2. y + 13 = 17; y = 4
12
h ≥ 15
10 11 12 13 14 15 16 17 18 19 20
Relationships in Two
Variables
Key Vocabulary
axes (ejes)
coordinate plane (plano
cartesiano)
coordinates (coordenadas)
ordered pair (par ordenado)
ESSENTIAL QUESTION
How can you use relationships in two variables to solve real-world
problems?
EXAMPLE 1
Graph the point (4, -2) and identify
the quadrant where it is located.
EXERCISES
Determine whether the given value is a solution of the equation. (Lesson 11.1)
1. 7x = 14; x = 3
7. 3.5 + x = 7
q = 2.1
10. The company’s stock is worth less than
42 is a solution of _6x = 7.
Solve each equation. Check your answer.
g≥5
6. 9q = 18.9
Write and graph an inequality to represent each situation.
(Lesson 11.4)
EXAMPLE 2
+12
p = 23
the problem. (Lesson 11.2)
B. _6x = 7; x = 42
42 ?
__
=7
6
7=7
12 is not a solution of r - 5 = 17.
5. p - 5 = 18
9. Sonia used $12.50 to buy a new journal. She has $34.25 left in her
savings account. How much money did Sonia have before she
bought the journal? Write and solve an equation to solve
EXAMPLE 1
Determine if the given value is a solution of the equation.
A. r - 5 = 17; r = 12
?
12 - 5 = 17
s - 6 = 18
6 students absent and 18 students present today.
(4, -2) is located 4 units
to the right of the origin and 2 units
down from the origin.
(4, -2) is in quadrant IV.
origin (origen)
quadrants (cuadrantes)
x-axis (eje x)
y
5
4
Quadrant II
3
2
1
Quadrant I
x
̵5 ̵ 4 ̵3 ̵2 ̵1 O 1 2 3 4 5
̵1
̵2
(4, ̵2)
̵3
Quadrant III
Quadrant IV
̵4
̵5
© Houghton Mifflin Harcourt Publishing Company
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yes
Write an equation to represent the situation. (Lesson 11.1)
3. Don has three times as much money as his brother, who has $25.
d
__
= 25
3
Unit 5
6A_MFLESE200906_U5SG.indd 359
359
4/17/14 11:53 PM
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Unit 5
6A_MFLESE200906_U5SG.indd 360
4/17/14 11:53 PM
Equations and Inequalities
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