Lesson
QuizzesAlgebraic Expressions
1-1 Evaluating
Preview
3-1: Properties of Rational Numbers
3-2: Simplifying Algebraic Expressions
3-3: Solving Multi-Step Equations
3-4: Solving Equations with Variables on
Both Sides
3-5: Inequalities
3-6: Solving Inequalities by Multiplying or
Dividing
3-7: Solving Inequalities by Adding or Subtracting
3-8: Solving Two-Step Inequalities
Holt CA Course 2
3-1
of Rational
Numbers
1-1Properties
Evaluating
Algebraic
Lesson Quiz
Expressions
Name the property that is illustrated in each equation.
1. (–3 + 1) + 2 = –3 + (1 + 2)
2. 6

y

7=6
●
7
●
y
Associative Property of Add.
Commutative Property of Multiplication
Simplify the expression. Justify each step.
3.
22
Write each product using the Distributive Property.
Then simplify
4. 4(98) 392
5. 7(32) 224
Holt CA Course 2
3-2
Algebraic
ExpressionsExpressions
1-1Simplifying
Evaluating
Algebraic
Lesson Quiz
Combine like terms.
1. 3x + 4 + 2x 5x + 4
2. 13k + 6  8m + 9 + k
14k – 8m + 15
Simplify.
3. 4(3x + 6)  7x 5x + 24 4. 6(x + 5) + 3x
9x + 30
Solve.
5. The accounting department ordered 15 boxes of
pens. The marketing department ordered 9 boxes of
pens. If the total cost of the combined order was
$72, what is the price of each box of pens?
$3
Holt CA Course 2
3-3
Multi-StepAlgebraic
Equations
1-1Solving
Evaluating
Lesson Quiz
Expressions
Solve.
1. 6x + 3x – x + 9 = 33 x = 3
2. 29 = 5x + 21 + 3x
3.
5 + x = 33
8
8
8
4. 6x – 2x =
7
21
x=1
x = 28
25
21
9
x = 116
5. Linda is paid double her normal hourly rate for each
hour she works over 40 hours in a week. Last week
she worked 52 hours and earned $544. What is her
hourly rate? $8.50
Holt CA Course 2
3-4
Equations Algebraic
with Variables Expressions
on Both Sides
1-1Solving
Evaluating
Solve.
Lesson Quiz
1. 4x + 16 = 2x x = –8
2. 8x – 3 = 15 + 5x x = 6
3. 2(3x + 11) = 6x + 4 no solution
4. 1 x = 1 x – 9 x = 36
4
2
5. An apple has about 30 calories more than an
orange. Five oranges have about as many
calories as 3 apples. How many calories are in
each? An orange has 45 calories. An apple
has 75 calories.
Holt CA Course 2
3-5
1-1Inequalities
Evaluating
Algebraic Expressions
Lesson Quiz: Part I
Write an inequality for each situation.
1. Fewer than 150 people bought tickets.
p < 150
2. There are at least 20 finches in the cage.
f ≥ 20
Write an inequality for each statement.
3. A number n decreased by 5 is at most 16.
n – 5 ≤ 16
4. The product of 15 and a number z is greater than
100. 15z > 100
Holt CA Course 2
3-5
1-1Inequalities
Evaluating
Algebraic Expressions
Lesson Quiz: Part II
Graph each inequality
5. m ≤ 1
–3 –2 –1
0
1 2
3
–2 –1 0
1 2
3
6. –3 < y
º
–3
Holt CA Course 2
3-6
Inequalities
by Adding orExpressions
Subtracting
1-1Solving
Evaluating
Algebraic
Lesson Quiz: Part I
Solve and graph each inequality.
g<4
1. g – 7 < –3
1
0
4
3
2
•
1
x≥0
3. –5.1 ≤ x – 5.1
4
Holt CA Course 2
2
3
4
5
s ≥ –1
2. 5 + s ≥ 4
4. 3 1 + y > 4
5
1
3
2
0
•
1
2
2
1
0
1
4/5
1
1 1/5
4
y<
5
1/5 2/5
3/5
3-6
Inequalities
by Adding or
Subtracting
1-1Solving
Evaluating
Algebraic
Expressions
Lesson Quiz: Part II
5. Tasha is folding letters for a fundraiser. She
knows there are at least 300 letters, and she
has already folded 125 of them. Write and
solve an inequality to show how many more
letters she must fold.
125 + x ≥ 300; x ≥ 175
Holt CA Course 2
3-7
Inequalities
by Multiplying
and Dividing
1-1Solving
Evaluating
Algebraic
Expressions
Lesson Quiz: Part I
Solve and graph.
1. –14x > 28
2.
x
3
x < –2
–2 0 2
< 15
x < 45
3. 18 < –6x
–3 > x
q
5
4.
8
q ≥ 40
Holt CA Course 2
40
50
45
8 6 4 2
40
45
3-7 Solving Inequalities by Multiplying and Dividing
1-1 Evaluating Algebraic Expressions
Lesson Quiz: Part II
5. Jared isn’t supposed to carry more
than 35 pounds in his backpack. He
has 8 textbooks and each book weighs
5 pounds. What is the greatest
amount of textbooks he can carry in
his backpack at one time?
No more than 7
Holt CA Course 2
3-8
Two-Step Algebraic
Inequalities
1-1Solving
Evaluating
Expressions
Lesson Quiz: Part I
Solve and graph.
1. 4x – 6 > 10
x>4
2. 7x + 9 < 3x – 15
x < –6
3. w – 3w < 32
w > –16
4. 2 w + 1  1
4
3
3
w
8
Holt CA Course 2
2
1
2
3
4
5
6
7
-10 -9
-8
-7
-6
-5 -4
-18 -17 -16
-15 -14 -13 -12
0
3
8
3-8
Two-Step Algebraic
Inequalities
1-1Solving
Evaluating
Expressions
Lesson Quiz: Part II
5. Antonio has budgeted an average of $45
a month for entertainment. For the first
five months of the year he has spent
$48, $39, $60, $48, and $33. How much
can Antonio spend in the sixth month
without exceeding his average budget?
no more than $42
Holt CA Course 2