| Simple Equations and Inequalities | Multi-Step Equations | Multi-Step Inequalities | Writing Equations | Writing Inequalities |
| 10 | 10 | 10 | 10 | 10 |
| 20 | 20 | 20 | 20 | 20 |
| 30 | 30 | 30 | 30 | 30 |
| 40 | 40 | 40 | 40 | 40 |
| 50 | 50 | 50 | 50 | 50 |
| Final Question | ||||
7x - 10x = 9
7x - 10x = 9
x= -3
7x - 9 = -30
7x - 9 = -30
x = -3
A true crab has 4 fewer than twice the number of legs that a hermit crab has. The hermit crab has 6 legs. How many legs does the true crab have?
A true crab has 4 fewer than twice the number of legs that a hermit crab has. The hermit crab has 6 legs. How many legs does the true crab have?
8 legs
Fiona earns $15 for each lawn she mows. Write and solve an inequality to find out how many lawns she must mow to earn at least $135?
Fiona earns $15 for each lawn she mows. Write and solve an inequality to find out how many lawns she must mow to earn at least $135?
15m (greater than and equal to) 135; 9 lawns
Solve. -6x = 59.8
Solve. -6x = 59.8
x = -9.96 (6 is repeating)
Solve. 8x - 12= -20
Solve. 8x - 12= -20
x = -1
Solve. 0.5(8x - 12) = -10
Solve. 0.5(8x - 12) = -10
x = -1
Three times the quantity h + 4 equals four times the quantity h - 1. What value of h makes this true? (Just solve for h).
Three times the quantity h + 4 equals four times the quantity h - 1. What value of h makes this true? (Just solve for h).
h = 16
Five times the quantity s + 6 equals three times the quantity s - 2. What value makes this statement true?
Five times the quantity s + 6 equals three times the quantity s - 2. What value makes this statement true?
s = -18
10z + 4 = 2(5z + 8) -12
10z + 4 = 2(5z + 8) -12
all real numbers; identity property
Solve and Graph. -4z + 8 < -27 + z
Solve and Graph. -4z + 8 < -27 + z
z > 7, graph should have an open circle over the 7 and arrow should be going right)
4x > -36
4x > -36
x > -9
12 - d > 40
12 - d > 40
d < -28
f - 8 < -1.1
f - 8 < -1.1
f < 6.9
-6n <(or equal to) 18
-6n <(or equal to) 18
n >(or equal to) -3
An annual pass for National Park entry costs $80. The total income from the annual passes is $12,800 in one month. Write an equation to represent the situation.
An annual pass for National Park entry costs $80. The total income from the annual passes is $12,800 in one month. Write an equation to represent the situation.
80p = 12,800
Translate the sentence. The difference of a number and 7 is -8
Translate the sentence. The difference of a number and 7 is -8
n - 7 = -8
Translate. The difference of a number and -7 is -2
Translate. The difference of a number and -7 is -2
n - (-7) = -2
Translate. Two less than the product of three and a number is -9
Translate. Two less than the product of three and a number is -9
3n - 2 = -9
Write and Solve. Taylor attached 24 ribbons to a jacket in 4/5 of an hour. At this rate, how many ribbons could he attach in one hour?
Write and Solve. Taylor attached 24 ribbons to a jacket in 4/5 of an hour. At this rate, how many ribbons could he attach in one hour?
30 ribbons
John has a gift card worth $75. If each DVD costs $12.50, how many DVD's can he buy if he spends no more than $75?
John has a gift card worth $75. If each DVD costs $12.50, how many DVD's can he buy if he spends no more than $75?
Up to 6 DVD's
Five times the sum of a number and 15 is greater than 37.
Five times the sum of a number and 15 is greater than 37.
n> 7 3/5
Bradford earns $8 for each car he washes. Write an inequality that can be used to find out how many cars he must wash to earn at least $256.
Bradford earns $8 for each car he washes. Write an inequality that can be used to find out how many cars he must wash to earn at least $256.
8p (greater than and equal to) 256
Translate. Six less than the product of four and a number is less than 0.5 times the opposite of the number.
Translate. Six less than the product of four and a number is less than 0.5 times the opposite of the number.
4n - 6 < -0.5n
Translate. The sum of an integer and the next greater integer is at most 13. Write an inequality to find the lesser integer. Then solve.
Translate. The sum of an integer and the next greater integer is at most 13. Write an inequality to find the lesser integer. Then solve.
n + n + 1 (less than and equal to)13; n (less than and equal to) 6
3x + 2 + 5(x - 1) = 8x + 17
3x + 2 + 5(x - 1) = 8x + 17
null set; no solution
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