Which graph represents the solutions of the inequality: 4 - 3x < 19
A
B
C
D
Solve. 14+6x < -10
x<4
x<-4
x>-4
x>4
Solve: -7(4x+10)+8x+120=-20
4
-20
3.5
20
What expression models the following phrase: “an hourly wage of $16 plus a $100 bonus.”
16h+100
100h+16
100-16h
16-100h
What are the coefficients in the given expression? 12x - y +6
12 and -1
12x, -1y, and 6
12 and 6
12, -1, and 6
Ryan had 10 more songs than Jeff. Tim had 2 times as many songs as Ryan. Together they had 122 songs. Write the expressions that represent each person:
Cell phone company A charges $140 for a phone plus a $50 monthly fee. Cell phone company B gives a free phone and charges $70 per month. After how many months will the total fee be equal?
Create equations for each company. Company A: ___________ Company B: ___________
2
7
14
12
Select all that apply to represent the mathematical statement of the inequality shown on the graph.
x>-2 AND x<5
-2 < x < 5
-2 > x > 5
-2 < x < 5
-2 > x > 5
Which situation represents a discrete relation?
Distance a car travels from a house.
Number of cans collected in a month.
Pouring a glass of milk.
Airplane traveling from one airport to another.
Which relation is not a function?
{(-3, 3), (-3, 0), (2, 1), (3, 5)}
{(3, 3), (2, 4), (1, 5), (0, 2)}
{(-3, 3), (-2, 4), (-1, 5), (0, -2)}
{(-3, 4), (1, 4), (2, 4), (3, 4)}
What is the range given in the relation?
{2, 4, 6, 8, 10}
2 < y < 10
{1, 2, 3, 4, 5}
1 < x < 5
What is the domain given in the relation?
{-4, -1, 2, 5}
-4 < x < 5
{-1, 1, 3, 5}
-1 < y < 3
Tyler uses 6 bottles of water each day on his camping trip and goes camping for 7 days. What is the appropriate domain?
0 < x < 7
{0, 1, 2, 3, 4, 5, 6, 7}
1 < x < 7
{1, 2, 3, 4, 5, 6, 7}
Ryan is planning a dinner for 15 people. The caterer charges $125 plus cost $20 per x, person. Which function can represent the situation?
f(x)= 20x+125
f(x)= 15x+125
f(x)= 125x+15
f(x)= 20x+15
Use the function, f(x)=8+2x to generate the first three terms of the sequence.
2, 12, 22, …
10, 20, 30, …
2, 4, 6, …
10, 12, 14, ...
Use the function, f(x)=-2+10x to generate the first three terms of the sequence.
10, 18, 26, …
10, 20, 30, …
8, 16, 24, ...
8, 18, 28, …
Write a function for the sequence f(0)=90, f(1)=78, f(2)=66
f(x)=-12+90x
f(x)= 90-78x
f(x)= 12-90x
f(x)= 90-12x
Using the explicit rule f(x) = -11 + 14x, find the term number that results in 73.
1011
6
5
1025
Using the table, find the 14th term.
1
-72
162
-66
What is the pattern in the given table?
Subtract 13
Add 68
Subtract 68
Add 13
Is the following relationship a function:
No
Yes
Is the following relationship a function:
No
Yes
Which equation represents 9x - 3y = -18 in y=mx+b?
y = 3x + 6
y = - 3x - 6
Find the x and y intercepts from the equation:
-4x + 2y = 24
(0,-6) and (12,0)
(-6,0) and (0,12)
(0,6) and (12,0)
(-12,0) and (0,6)
Which graph represents y = 2x - 3?
What is the slope of the given graph?
1/2
-1/2
2
-2
What does the x-intercept represent from the given graph?
35 circuit boards are made if all the capacitors are used
140 capacitors remain if 0 circuit boards are made
35 capacitors remain if 0 circuit boards are made
140 circuit boards are made if all the capacitors are used
What is the linear equation in slope intercept form if the slope is 4 and contains a point of (5,13)?
y = 4x + 5
y = 4x + 13
y = 4x - 7
y = 4x + 4
What is the linear equation in slope intercept form if the line contains the points (2, 7) and (6, -1)?
y = 2x + 11
y = - 1/2x + 6
y = -2x + 11
y = -2x + 6
The Chess Club is fundraising by selling crossword puzzles for $5 and sudoku puzzles for $4. The club needs to raise $410. What standard form equation represents the situation?
5x - 4y = 410
410 + 4x = 5y
5x + 4y = 410
4x - 5y = 410
What transformation occurs from f(x) = 3x + 1 to g(x) = 3x - 2?
The graph shifts up 2.
The graph shifts down 3.
The graph shifts up 3.
The graph shifts down 2.
A tutor charges an initial fee of $50 plus a rate of $20 per hour. The function that shows the total fees charged is f(x) = 20x + 50. What is a new function, if the tutor increased their hourly rate by $5 per hour?
g(x) = 15x + 50
g(x) = 25x + 55
g(x) = 25x + 50
g(x) = 20x + 55
What linear inequality represents the given graph?
y > -3x -3
y > -3x -3
y < -3x -3
y < -3x -3
Which graph represents y > 2x - 2
A
B
C
D
If you solve a system and you get -5 = -5, then what do you know about the solution to that system of equations?
no solution
two solutions
infinite solutions
one solution
If you solve a system and you get -2 = -8, then what do you know about the solution to that system of equations?
two solutions
infinite solutions
no solution
one solution
Solve the system of equations.
y = x
y = -2/3x + 5
(3,3)
(2,2)
(-2,-2)
(-3,-3)
When using substitution to solve this system of equations, what is the result of the first step?
x = 6y + 3
x + 2y = 5
x + 2(6x + 3) = 5
6x + 3 + 2y = 5
6y + 3 + 2y = 5
x + 2(6y + 3) = 5
Solve the system of linear equation.
y=3x+7
x+3y=11
(1, 10)
(3,7)
(4,11)
(-1,4)
Solve the system of linear equation.
2x+y=7
3x-4y=5
(7,4)
(3,1)
(-1,9)
(-3,-1)
Solve the system of linear equation.
3x+y = 6
6x+2y=8
No solution
(0,-4)
Infinitely Many
(-4,0)
How many solutions does the system of linear equation have?
-7x+2y=10
y=2x+5
One Solution
No Solution
Two Solutions
Infinitely Many
One smartphone plan costs $30 and $8 per gigabyte of data used each month. A second smartphone plan costs $60 and $3 per gigabyte of data used each month. After how many gigabytes will both company’s charge the same?
Create equations for each company.
Company A: ___________ Company B: ___________
6 gigabytes
7 gigabytes
14 gigabytes
12 gigabytes
A buffet dinner costs $7.00 for adults and $4.00 for children. If a family of 8 paid $41.00, how many paid the adult price?
3
6
5
4
Which graph represents the solution to system of linear equations?
A
B
C
D
Alex is buying drinks and snacks for a party at his house and wants to spend less than $45. Drinks cost $2 each, and snacks cost $4 each. He needs to buy at least 11 drinks and snacks altogether. Which system represents this situation?
A
B
C
D
Which system of linear inequalities represents the graph shown?
