Linear Equations
Solving Equations
4x + 3 = 7
x = 1
Solving Equations
5n - 2 = 8n - 14
n = 4
ax – 13 = 11
x= 24 / a
Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends a total of $18.25 on two bags of popcorn and three drinks. Zachary spends a total of $27.50 for four bags of popcorn and two drinks.
2p + 3d = 18.25
4p + 2d =27.50
4 = -8 + x
x= 12
Solving Equations
4(6 + 5x) = 124
x = 5
Solving Equations
-4(-8p + 1) = -4 - 8p
p = 0
bx + g = 14
x= (14 - g) / b
Two friends went to a restaurant and ordered one plain pizza and two sodas. Their bill totaled $15.95. Later that day, five friends went to the same restaurant. They ordered three plain pizzas and each person had one soda. Their bill totaled $45.90. Write a system of equations.
p + 2s = 15.95
3p + 5s = 45.90
x + 12 = 0
x= -12
Solving Equations
-108 = -8(x + 6) - 4
x = 7
Solving Equations
6(6n - 2) = 8n - 40
n = -1
(x/a) +g=-8
x= a(- 8 - g)
Jen joined the Fan Favorite Movie Club at the local movie theater. At this theater, the cost of admission in May and June remains the same. In May, she saw 2 matinees and 3 regular-priced shows and spent $38.50. In June, she went to 6 matinees and one regular-priced show and spent $47.50. Write a system of equations to represent the cost, m, of a matinee ticket and the cost, r, of a regular-priced ticket.
2m + 3r = 38.5
6m + r = 47.5
3 = -2 – x
x= -5
Solving Equations
172 = 5(4a + 6) + 2
a=7
Solving Equations
5x + 5 + 4x = 4 - 3x + 6
x= 5/12 or x= 0.41667
(x/y)-2p=10
x= y (10 + 2p)
Last week, a candle store received $355.60 for selling 20 candles. Small candles sell for $10.98 and large candles sell for $27.98.
L + S =20
27.98L + 10.98S = 355.60
5x = -80
x= 16
Solving Equations
-93 = 7(-3k - 8) + 5
k = 2
Solving Equations
-5(8n - 4) - n = - 16 - 5n
n = 1
(y/x) + r = v
x= y / (v - r)
Jim had a bag of coins. The number of nickels, n, and the number of quarters, q, totaled 28 coins. The combined value of the coins was $4. Write a system of equations that models this situation. U
n +q = 28
.05n +.25q = 4
16 = x/2
x= 32