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$200
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$300 $300 $300 $300
$400 $400 $400 $400
$500 $500$500 $500
Properties Expressions Equations
One-Step Inequalities
Vocabulary Graphing Inequalities
Properties for $100
Name the Property shown below:
b + 0 = b
Answer
Identity Property of Addition
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Properties for $200
Name the Property shown below:
7 + (3 + C) = (7 + 3) + C
Answer
Associative Property of Addition
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Properties for $300
Name the Property shown below:
2*b = b*2
Answer
Commutative Property of Multiplication
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Properties for $400
Name the Property shown below:
5*1 = 5
Answer
Identity Property of Multiplication
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Properties for $500
Simplify the expression. Justify each step.
6x + 4(3 + 9x)
Answer
6x + 4(3 + 9x)
6x + 4*3 + 4 *9x => Distributive Property
6x + 12 + 36x => Multiplication
6x + 36x + 12 => Commutative Property of addition
(6 + 36)x + 12 => Distributive Property
42x + 12 => Addition
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Expressions and Equations for $100
Name the like terms in the following expression:
-3x + 42x – 2y + 1
Answer
-3x + 42x – 2y + 1
The like terms are -3x and 42x because they have the exact same variable.
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Expressions and Equations for $200
Simplify the following expression:
-3(5x – 4)
Answer
-3(5x – 4)
-3 * 5x + -3 * -4
-15x + 12
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Expressions and Equations for $300
Is the given number a solution to the equation?
-3x – 2 = 4; 2
Answer
-3x – 2 = 4; 2-3x – 2 = 4 where x = 2-3(2) – 2 = 4-6 – 2 = 4-8 ≠ 4 => No, 2 is not a
solution
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Expressions and Equations for $400
Simplify the following expression:
5 - 3(-2x + 4)
Answer
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5 – 3(-2x + 4)
5 + (-3)(-2x) + (-3)(4)
5 + 6x – 12
6x + 5 – 12
6x - 7
Expressions and Equations for $500
The Ramirez family has two children. The sum of their ages is 11. The product of their ages is 24. How old are the children?
Answer
Make a table!
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Age 1 Age 2 Sum Product
6 5 11 30
7 4 11 28
8 3 11 24
Vocabulary for $100
Define: Integers
Answer
Integers – All positive and negative whole numbers
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Vocabulary for $200
Define: Term
Answer
Term – Part of an expression or series separated by + or – signs, or the parts of a sequence separated by commas
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Vocabulary for $300
Define: Deductive Reasoning
Answer
Deductive Reasoning – Reasoning in which solutions are drawn from logically given facts.
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Vocabulary for $400
Define: Inequality
Answer
Inequality – A mathematical sentence that contains >, <, ≤, ≥, or ≠
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Vocabulary for $500
Define: Solution of an Inequality
Answer
Solution of an Inequality – Any number that makes the inequality true.
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Graphing Inequalities for $100
Graph the inequality shown below:
x > -4
Answer
Back
X > -4
Graphing Inequalities for $200
Write an inequality for the graph shown below:
Answer
Back
X ≤ 3
Graphing Inequalities for $300
Graph the inequality shown below:
-7 < x
Answer
Back
-7 < x
Graphing Inequalities for $400
Graph the inequality shown below:
0 ≤ x < 4
Answer
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0 ≤ x < 4
Graphing Inequalities for $500
Graph the inequality shown below. Check your answer:
x < -5 or x ≥ 2
Answer
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x < -5 or x ≥ 2
Let x = -7 Let x = -4 Let x = 5
-7 < -5 =>True -4 < - 5 => NOT True 5 < -5 => NOT True
-7 ≥ 2 =>NOT True -4 ≥ 2 => NOT True 5 ≥ 2 => True
One-Step Inequalities for $100
Solve for x:
X + 2 < 1
Answer
X + 2 < 1 -2 -2X < -1
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One-Step Inequalities for $200
Solve for x:
x/(-5) > 7
Answer
x/(-5) > 7
x/(-5) * (-5) > 7 * (-5)
X < -35
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One-Step Inequalities for $300
Solve for x:
4x ≥ -36
Answer
4x ≥ -36
(4x)/(4) ≥ (-36)/(4)
x ≥ -9
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One-Step Inequalities for $400
Write the following inequality in words:
x + 5 ≥ 7
Answer
Back
x + 5 ≥ 7
Five more than a number, x, is greater than or equal to 7
One-Step Inequalities for $500
Write an Inequality to model the following situation:
Mr. Sam spent at least 4 hours making this game
Answer
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Let t = the time Mr. Sam spent making this game
Then,
t ≥ 4 hours