Expressions
Equations
Inequalities
Linear Equations
Functions and Sequences
100
Evaluate 5c + cd when c = 1/5 and d = 15
Answer: 4
100
0.2 (10 – 5c) = 5c – 16
Answer: c = 3
100
Which of the k-values satisfy the following inequality? 6 > 2k + 4 K = 0 K = 1 K = 2
K = 0
100
Which ordered pair is a solution of the equation? 6x + 3y = 15 Choose 1 answer: A) Only (3, -2) B) Only (2, 2) C) Both (3, -2) and (2, 2) D) Neither
Answer: D) Neither
100
k(x) = 6x + 100 k(-5) = ________
Answer: 70
200
Lois and Clark owns a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression 12h + 30w where h is the number of hours worked and w is the number of wagons sold. What is the amount paid to an employee that works 6 hours and sells 3 wagons?
Answer: A sales employee gets paid $162 for working 6 hours and selling 3 wagons.
200
9/4y – 12 = 1/4y – 4
Answer: y = 4
200
What is the solution set for the inequality 4x + 11 < -21
Answer: x < - 8
200
What is the slope of the line through (-4, -1) and (2, -7)
Answer: The slope is - 1
200
h(x) = 17 + x/6 h(-18) = _______
Answer: 14
300
The expression 4x gives the perimeter of a square with a side length of x units. What is the perimeter of a square with a side length of 5/7 units?
Answer: 20/7 or 2 and 6/7
300
7(2e – 1) – 3 = 6 + 6e
Answer: e = 2
300
Solve for m. 8m + 95 < -87m + 5
Answer: m < - 18/19
300
Determine the intercepts of the line. y = -3x + 12
The y-intercept is (0, 12) The x-intercept is (4, 0)
300
c(n) = -7 + 6(n -1) Find the 4th term in the sequence
The 4th term is 11
400
Write an expression to represent: The sum of three and the product of two and a number x.
Answer: 3 + 2x
400
Roger gets $40 per day as wages and $4.50 as commission for every pair of shoes he sells in a day. His daily earnings goal is $112. Write an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal.
Answer: 40 + 4.5p = 112
400
Joey Chestnut is trying to break his own world record for eating the most hot dogs and buns in 10 minutes. He needs to eat more than 72 hot dogs to break his record. After 1 minute of competition, Joey has eaten 10 hot dogs. Joey wants to know the number of hot dogs per minute that he needs to eat for the next 9 minutes to break his own record. Let d represent the number of hot dogs Joey eats per minute. Write an inequality to determine the number of hot dogs per minute Joey must eat for the last 9 minutes to break his record.
Answer: 10 + 9d > 72
400
Write the Slope-Intercept form for a line that goes through the point (2, 1) and (5, -8)
Answer: y = -3x + 7
400
Find an explicit formula for the arithmetic sequence 81, 54, 27, 0… a(n) = ____________
a(n) = 81 – 27(n – 1)
500
If m = 4 and n = 3, what is (m^2-n^2 )/(m^2+ n^2 )
Answer: 7/25
500
6s – 4 = 8 (2 + 1/4s)
Answer: s = 5
500
Each day, Katie looks for seashells on the beach. She has 28 shells in her collection. Katie finds 12 more shells each day. Write an inequality to determine the number of days, d, it will take Katie to collect over 100 shells. ________ Solve the inequality _______
Answer: 28 + 12d > 100 Solve the inequality Answer: D > 6
500
What is y – 2 = -3(x – 7) written in standard form (Ax + By = C)
Answer: 3x + y = 23
500
For a given input value u, the function g outputs a value v to satisfy the following equation. -12u + 3 = 8v + 1 Write a formula for g (u) in terms of u. g (u) = ___________
g (u) = -3/2u + 1/4
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