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Algebraic Expressions and Word Phrases
Real Numbers
Properties
Equations
Random
100
Write an algebraic expression for the word phrase: the sum of 10 and 5 times x
10 + 5x
100
To which subsets of the real numbers does -0.91928193840293... belong?
Irrational
100
Which property is illustrated by the statement: 19y + 0 = 19y
Identity Property of Addition
100
Is (3,10) a solution of the equation 2y = 6x + 2?
Yes, 20 = 20.
100
Write an algebraic expression for the word phrase: the quotient of 100 and w
100/w
200
Write a word phrase for the algebraic expression: 10 - r
r less than 10; 10 minus r; the difference of 10 and r; r subtracted from 10
200
To which subsets of the real numbers does -150 belong?
Rational and Integers
200
What property is illustrated by the statement: (r + 9.8) + 8 = (9.8 + r) + 8
Commutative Property of Addition
200
Is x = 12 a solution to the equation 5x - 19 = 40?
No, 41 is not equal to 40.
200
Simplify the expression: (9-2)2 + 10/5 - 4*2
43
300
Write an algebraic expression for the word phrase: 12 less than the quotient of 8 and a number g
8/g - 12
300
Using an inequality symbol, compare 1/5 and 1/4
1/5 < 1/4
300
What is the simplified form of the expression: (-9x+3)(-4)
36x + -12 or 36x - 12
300
Write an equation to describe the relationship and then determine how much money Aly has if she works 16 hours: Aly gets paid $9.50 for each hour that she works.
t = 9.50h; for 16 hours, Aly makes $152.
300
Simplify the expression: 9x - 26y + 10x2 - 4x + 12y
5x - 14y + 10x2
400
Write an algebraic expression for the word phrase: the product of 4 and 7 more than x
4(x + 7)
400
Put the real numbers in order from least to greatest: 1.2, -0.8, square root of 4, -1.4, and 0.9
-1.4, -0.8, 0.9, 1.2, square root of 4
400
Simplify the expression and justify each step (write which property you used): (3 + 9a) + 5
(9a + 3) + 5: Commutative Property of Addition; 9a + (3 + 5): Associative Property of Addition; 9a + 8: Simplified
400
John runs 11 laps before Susie joins him on the track. They run together at the same pace. Represent this relationship as an equation and a table.
John = Susie + 11
400
Simplify the expression: (-1/2)(14x - 22y + 18x)
-16x + 11y
500
Write an algebraic expression for the word phrase: the sum of twice a number x and 8 divided by y.
2x + 8/y
500
Put the real numbers in order from least to greatest: 3.5, -2.1, square root of 9, -7/2, and square root of 5.
-7/2, -2.1, square root of 5, square root of 9, 3.5
500
Use deductive reasoning to determine if the statement is true or false. If true, write which properties were used. If false, give a counterexample. For all real numbers r, s, and t, (r + s) + t = s + (r + t)
True. Commutative Property of Addition. Associative Property of Addition.
500
Ryan earns $18 in 3 hours, $36 in 6 hours, and $54 in 9 hours. Write an equation to describe Ryan's earnings per hour and then determine how much he will make in 20 hours.
t = 6h; $6 * 20 hours = $120
500
What is the value of the expression if a=4 and b=10: (8a + b) - a/2 + 50/b - a3
3