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Variables and Expressions
Order of Operations
Real Numbers and Their Subsets
Solving Equations
Real life application equations
100
n-3
what is an algebraic expression for 3 less than a number, n?
100
What is the simplified form of the expression, 2^4?
16
100
What numbers are included in the set of integers?
all negative, and positive whole numbers, and 0.
100
What is the solution of − x/3= −12?
x = 36
100
Shannon and Kelly spent $135 on gift certificates for their friends during the holidays. If this amount is 5/7 of their total spending money, how much spending money did they originally have? Set up an equation and solve.
Let x = spending money 5/7x = 135 x = $189
200
What is an algebraic expression for the product of 15 and y?
15y
200
what is the value of the expression for x = 1 and y = 3? (x +y )^2 ÷ (y + 1)
4
200
What property is being used: 3(w − 4) = 3w −12 ?
distributive
200
What is the solution of 5q – 13 = 37?
q = 10
200
A calling plan charges $0.10 per minute and a monthly fee of $5.99. How many minutes can a customer talk if they want the bill to equal $37.99? Set up an equation to model the situation.
5.99 + .10m = 37.99 m = 320 minutes
300
What is an algebraic expression for the sum of 4 and twice y?
4 + 2y
300
What is the value of the expression for x = 5 and y = 4? 3xy + x ^2
85
300
All real numbers fall into what two subsets? Name them.
Rational and Irrational
300
Write an equation and solve. Eight less than five times a number is negative 63.
8 + 5n = -63 n = 11
300
There is a 15-foot fence on one side of a rectangular garden. The gardener has 55 feet of fencing to enclose the other three sides. What is the length of the garden’s longer dimension? Write an equation and solve.
2l + 15 = 55 l = 20
400
What is the word phrase for d + 5?
five more than a number, d
400
What is the value of 5m + 3n – 8 ÷ 4 when m = 8 and n = 6?
40 + 18 -2 = 56
400
What is the subset of Real Numbers that best describes the situation? Your math class is selling pies to raise money to go to a math competition. Which subset of real numbers best describes the number of pies p that your class sells?
whole
400
What is the solution of 7p + 8p − 16 = 59?
p= 5
400
Five times the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number. What is the number? Write an equation and solve.
5(x + 3) = 3 (2x – 1) x = 18
500
What is an algebraic expression that models the situation? A car salesman gets paid a weekly salary of $300. They are also paid $100 for each car that they sell during the week.
$300 + $100c
500
What is the value of 3x − 1/2 y when x = 5 and y = 4?
13
500
True or False? If false, provide a counter example: The sum of two integers is always a natural number.
False. counter example can vary. any two numbers that result in 0 or negative when added will work.
500
What is the solution of 4 − 2(3x + 9) = 28?
x = -7
500
What is the solution of 2x + 8 = 5(x − 7)− 3x?
no solution. If you simplify, then 2x + 8 = 5x - 35 - 3x. and 2x + 8 = 2x - 35. Can this ever be true? Try any number for x.