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Equivalent Expressions
Writing and Evaluating expressions
Equations and Inequalities
Equations and Inequalities
Miscellaneous
100
Name an equivalent expression: 5(3x + 4)
What is 15x + 20?
100
Write an expression which represents: the result of taking the product of 5 and a number x from the square of 6
6 squared - 5x = 36-5x
100
Solve: x/-4 + 2 = 38
-144
100
Which number is not a solution for the inequality: 4x (less than or equal to) 19 -3 , 0 , 4, 5
5
100
What is the value of this expression when j = 4 and k=3 and K is cubed j (2k cubed - 6) (k is cubed)
192
200
Are these expressions equivalent? 6a + 10 and 3(3a + 5)
No
200
Write a mathematical expression: (use n for the unknown number) Michael earned seven dollars per hour as a waiter. He worked for 6 hours and also made an amount in tips.
7 x 6 + n
200
Mr. Nasta bought 19 recorders. He spent a total of $57. Each recorder was the same price. Write an equation, and solve to find the price of one recorder.
Let r = the price of one recorder. 19r = 57 r = $3 for each recorder
200
Write an inequality: All lobsters under 1.5 pounds are on sale. Use w for the weight of the lobster.
w< 1.5 pounds
200
Describe a graph for the solution to this inequality: r + 9 < 12
open circle at 3, going to the left, toward 0
300
What expression is equivalent to: 6x + 4(1 + x) + 5?
10x + 9
300
Kara is 4 times older than her sister Gwen but 3 years younger than her sister Maya. Gwen's age is represented by G. Write an expression which represents Maya's age.
4G + 3
300
A parking meter had 18 quarters in it by noon. By 6 P.M., it had 41 quarters in it. How much money was put in the meter during the afternoon? Write an equation and solve.
18 + q = 41 Let q = the number of quarters q = 23 Each quarter = $.25 23 x $.25 = $5.75
300
A red block and a blue block are on a scale. The red block weighs 9 ounces. The total weight of both blocks is at most 16 ounces. Write an inequality which represents the weight of the blue block in ounces.
b (less than or equal to) 7
300
Melanie buys 5 pairs of socks that are on sale for d dollars per pair. She pays a total of $17.10. Write an equation which can be used to find the price of one pair. Solve.
$17.10 = 5d ; d= $3.42
400
Simplify and factor: 10 + 4x + x(3 + 2) - 1
9x + 9 = 9 ( x + 1)
400
A medium cheese pizza costs $12. Additional toppings are $2 each. Let t represent the number of toppings and p represent the cost of the pizza. Write an equation for the cost of a pizza and the solution for a pizza with 2 toppings.
P = $12 + 2t, solution is P = $16
400
A school bus holds 25 students. How many buses are need to carry 78 students? Write an equation and solve. Explain your answer.
Let b equal the number of buses. 25 b = 78 b= 3 with a remainder of 3 students (3.12), so you will need 4 buses
400
At a local community college, courses cost $381 per credit. If a student takes at least 12 credits, additional courses taken at the same time are free. Write an equation which represents c, the cost of taking courses at this college.
c less than or equal to $4572 ( c < or = to $4572 )
400
What is the value of a? -4a = -48
12 = a
500
Simplify: 5(-3-5a) -13(10a-9)
102 -155a
500
Dilana has 20 less than 3 times as many DVDs as Julia. If Dilana has 55 DVDs, who many does Julia have? Write an equation and solve.
Let J = the number of DVDs Julia has 3J - 20 = 55; and J = 25
500
Miles has 5 less than 4 times as many trophies as Josh. Miles has 19 trophies in all. How many trophies does Josh have? Write an equation and solve.
Let j = the number of trophies Josh has 4j - 5 = 19; so j= 6 trophies
500
1. What symbol means "at least?" 2. What symbol means "at most?"
at least: has a > or = sign at most: has < or = sign (hard to show in this game!)
500
Shaina bought 6 pairs of shoes. For each pair purchased, she received a second pair at half price. The total price Shaina paid was $112.50. With s representing the price of the shoes, what equation represents the situation and the original price of the shoes?
3s + 1.5s = $112.50, s= $25 original price of shoes (3 s plus the quotient of 3s and 2 = $112.50)