Equivalent Equations
X + 1.5 = 4.5
What is X equal?
x = 3
A store increased its price from $80 to $88. What is the percent increase?
Percent Increase is 10%
16 = 3x + 4.
What is the y-intercept?
y-intercept = 4
True or False: A function that has a constant rate of change for every equal interval on its graph is nonlinear.
False
What is the absolute value of -3/4?
Simplify the expression: 3(4+2) - 5
13
3x - 12 = 6
x = 6
15 students out of 60 total students play basketball, what percentage of students play basketball?
25%
y = -2x + 5.
What point does the line cross the x-axis?
(2.5, 0)
If a concert ticket costs $45 and each attendee also pays a $5 service fee, what function represents the total cost (C) for n people?
C(n) = 45n + 5
What is 1 7/8 written as an improper fraction?
15/8
If x = 5, evaluate the expression: 2x2 -3x + 4.
6x + 18 = -12
x = -5
A shirt originally priced at $45 is on sale for $36. What is the percent discount?
20%
What is the slope when given these two coordinate points; (-1, 4) and (3, 0)?
(y2 - y1)/ (x2 - x1) = -4/4 or -1
A car rental company charges $30 per day plus $0.25 per mile driven. If d represents miles driven, what function shows the total cost (T) for a 3-day rental?
What is -10/3 written as a mixed fraction?
-3 1/3
In the expression 3x + 12, what is the coefficient of x?"
The coefficient of x is 3.
-24 = -6(e - 9)
e = 13
The population in Chicago during 2024 was 15,000. In 2025 the population grew to 18,750. What is the percent increase?
25%
Convert 2x - 3y = 12 to slope-intercept form.
y = 2/3x - 4
The temperature of coffee starts at 180°F and cools by 2°F per minute. What function can the temperature T (in °F) of a cup of coffee after m minutes be represented by?
What theorem can be used to find the distance between the points (0,0) and (3,4)?
The Pythagorean Theorem
If 2(x + 5) = 16, what is the value of x?
x = 3
-3/4y = -9
y = 12
A $200 item is marked up 40% and then put on sale for 25% off. What is the final price?
$210 after the 25% discount.
Solve systems of equations
y = 2x + 3
-3x + y = 9
Line 1: (-6, -9)
Line 2: (-6, -9)
A phone plan costs $50 per month for 5GB of data and charges $10 for each additional GB. If g represents the gigabytes used, what function represents the monthly cost (M)?
M(g) = 50 + 10(g-5)
What is the horizontal distance between points (-2,3) and (4,3)?
4 - (-2) = 4 + 2 = 6
If a = 5 and b = 2, evaluate: 3a - 2b.
11