Solving Equations
Solve:
x + 6 = 14
x = 8
Find the unit rate:
120 miles in 4 hours
30 miles per hour
In which quadrant is the point (-3, 5)?
Quadrant II
Identify the form:
y = 2x -5
Slope-intercept form
The school store sells notebooks for $3 each.
How much do 5 notebooks cost?
$15
Solve by graphing: (You may use Desmos!)
y = x + 1
y = -x + 5
(2, 3)
Solve:
4x = 36
x = 9
Solve the proportion:
x/5 = 12/15
x = 4
-7
Rewrite in slope-intercept form:
x + y = 9
y = -x + 9
A car travels 180 miles in 3 hours.
What is the average speed?
60 miles per hour
Solve using substitution:
y = 2x
x + y = 12
(4, 8)
Solve:
2x - 5 = 17
x = 11
What is 25% of 80?
20
Find the slope of the line passing through:
(2, 3) and (6, 11)
2
What is the slope of the line?
y = 4x + 1
4
Twice a number plus 7 equals 19.
What is the number?
6
x + y = 9
x - y = 1
(5, 4)
Solve:
3(x + 4) = 33
x = 7
A $50 pair of shoes is on sale for 20% off. What is the sale price?
$40
Find the slope of the line:
y = -3x + 8
-3
Write an equation in point-slope form using:
m = 3 and point (2, -1)
y + 1 = 3(x - 2)
Three consecutive integers add up to 42.
What is the largest integer?
15
No solution
Solve:
7x + 5 = 3x + 29
x = 6
A restaurant bill is $72. You leave a 15% tip. What is the total cost including tip?
$82.80
Find the slope of the line passing through:
(-2, 4) and (3, -6)
-2
Convert to standard form:
y - 5 = -2(x + 3)
2x + y = -1
A gym charges a $25 sign-up fee plus $15 per month.
Write the equation for the total cost y after x months.
y = 15x + 25
Adult tickets cost $10 and student tickets cost $6.
A total of 18 tickets were sold for $148.
How many adult tickets were sold?
10 adult tickets