Solving Equations
Solve for x:
5x + 3 = 18
x = 3
Find the y-intercept of the line
-4x + 2y = 12
y-intercept: (0, 6)
The gas station charges $4.25 per gallon of gas. How much will you pay for 15 gallons of gas?
$63.75
Evaluate 4b-5 for b = 10
35
Simplify the expression 4m + 5 - 3 - 6m
-2m + 2
solve for m
-3(m+1) = 18
m = -7
Find the slope for the line
x+ 4y = 24
Slope: -1/4
Holland bikes 5 miles in 10 minutes. Find his speed per hour.
Evaluate 3(x+6) for x = -2
12
Simplify the expression -3(x-1)+3x
3
solve for z in 3z + 6x = 12
z=-2x+4
Find the slope between the points
(150, 4) and (-200, 4)
Slope: 0
The ice skating rink hosts birthday parties for an initial fee of $200 and then $15 per pizza ordered. If Gracie paid $320 for her birthday party in total how many pizzas did she order?
8 pizzas
Evaluate -3(-x-4) for x = 2
18
Simplify the expression 4(2x-3)+3(x-5)
11x-27
solve for p
3(2p-4)=5p
p=12
Find the equation of the line that goes through the point (-2,-5) and (-7, -20)
y = 3x+1
The sale price of cake at the grocery store is $25.49 for the cake and $0.50 for every additional topping on the cake. Write an equation for the situation.
y = 0.5x +25.49
Evaluate -5(x-2)+1 for x = -3
26
Simplify the expression 3(-2x-5)-6(x+7)
-12x-57
Solve for n
3(n-5)+2=4n
n=-13
Find the equation of the line that goes through the points (9,7) and (-9,1).
y=1/3x+4
There is a fee to rent a moving truck plus $20 per hour. Joey rented the truck for 8 hours and paid $300. Write an equation that represents this situation.
y=20x+140
Evaluate 2(3x-4)+5(x-1) for x = 2
9
Simplify the expression 5(m+2)-3(4m-5)
-7m+25