Solving Linear Equations
Solve equations and formulas for a variable
Solving linear inequalities
Solve combined linear equalities
Word Problems
100
2a - 4 = 10 Solve for a
7
100
d = rt Solve for r
r= d/t
100
3< -5n + 2n
n<-1
100
-1<9 + n < 17
-10<n<8
100
Dante works as a bike store. Tony earns $300 every week plus $25 for every bike that he sells. Write an inequality that can be used to determine the number of bikes (b) Dante must sell in one week if he wants to earn a minimum of $500 for that week.
300 + 25 b >500
200
2(3x +1) = 5
1/2 or 0.5
200
p − 1 = 5 p + 3p − 8
1
200
6 -4(6n+7)>122
n<-6
200
-50<7k + 6< -8
-8<k<-2
200
2. Dante works as a bike store. Tony earns $300 every week plus $25 for every bike that he sells. Use the inequality 300 + 25 b >500 to find How many bikes (b)does Dante needs to sell?
8
300
3(2x -2) = 2(2x + 5) Solve for x
8
300
3n − 5 = −8(6 + 5n)
-1
300
167 < 6 + 7(2 - 7r)
r< -3
300
-36 <3p- 6<-15
-10
300
2. A pizza shop charges $8 for a large pizza plus $0.75 for each topping. Which equation below represents the costs (c) of a pizza in relation to the number of toppings (t)? Write an equation that can be used to determine the width (w) in feet, of the new section of the garden.
C=0.75t + 8
400
2x + 6 = 2(5x-1) Solve for x
1
400
−8 = −(x + 4)
4
400
28 - k > 7(k - 4)
k<7
400
-2 <4+8<8
-6<x<4
400
3. Shara buys bicycle inner tubes for $4.50 each. He uses a coupon for $5.00 off his purchase. Which Equation can be used to determine Shara’s total cost, c, for t inner tubes?
C= 4.50t - 5
500
1/3 x - 2 = 10
36
500
−18 − 6k = 6(1 + 3k)
-1
500
a - 6 < 15 + 8a
a>-3
500
-20 <3x +1<-2
-7<x<-1
500
4. Last year, the area of Jaime’s garden was 32 square feet. This year, she added a new rectangular-shaped section to her garden. The length of the new section of the garden is 12 feet. The TOTAL area of her garden now, last year’s garden plus the new section is 116 square feet. Write an equation that can be used to determine the width (w), in feet, of the new section of the garden
32 + 12w = 116
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