Equations
Inequalities
Steps
Word Problems
SPIRAL!!! (And some leftover word problems..)
100
20) Solve
4(3x-7)=3(5x+1)
\frac{-31}{3}
100
12) Solve
3(-x-1)>=4x+18
x<=-3
100
10) What steps are used in the solving process of the equation given?
\frac{3x-1}{4}=11
3x-1=44
3x=45
x=15
Multiplication, addition, division
100
18) During a promotional deal at Old Navy, customers receive an extra discount if they spend $150 or more. So far, Jim's purchases total $95. Which inequality can be solved to show how many more dollars, d, he must spend to receive the extra discount?
d+95>=150
100
21) Solve -3(x+7)>27
x<-16
200
2) Solve for x.
3(2x+4)+4x=-5(-2x+3)-2
No Solution
200
1) Solve:
-7(2x-1)-6x > -9x - (10x+5)
x<12
200
15) List the steps used the solve the following.
5(x+2)-1 = 12x-5
5(x+2) = 12x-4
5x+10=12x-4
-7x+10=-4
-7x=-14
x=2
Addition, distribution, subtraction, subtraction, division
200
11) Emma has $50 to spend at the water park. The entrance fee is $20.00 and each snack she buys costs $5.25. Which 2 of these are amounts of snacks she can buy?
2 snacks, 7 snacks, 6 snacks, 5 snacks, 8 snacks
2 or 5 since x<5.7
200
22) Bethany has $100 in her savings account. At the end of each week, she will add $20 to the account. Which equation describes the total amount D, in dollars, that Bethany will have in her account at the end of week, w?
D=100+20w
OR
D=20w+100
300
5) Solve for x.
\frac{3(2x+6)}{10}=\frac{4(x-1)}{5}
x=13
300
7) Solve
1/4(8x-16)+2x<4-(x+3)
x<1
300
3) Given 8(7x-1)=16x-24, what are TWO different FIRST steps you could do to start solving the equation above?
Add 1 to both sides. Distribute 8.
Add 24 to the 1. Subtract 16. Divide by 8.
Distribute 8. Divide 8.
300
8) Sarah is planning a birthday party and wants to rent a space and hire a caterer. The rental fee for the space is $300, and the caterer charges $15 per person. Sarah can spend a maximum of $725.
Write an inequality for the scenario and determine how many people can attend the party.
15x+300<=725
28 people
300
23) Michael is saving to buy a used car. The budge he has set is $17000. He has $3000 saved already and plans to set aside $300 from his weekly paychecks to purchase the car. How many weeks will he need to work to save enough money for the car?
47 weeks
400
2) Solve for x.
\frac{1}{3}(6x+12)+4x=\frac{4}{5}(10x-15)-2
x=9
400
16) Solve for x.
1/6(18x-12)-(x+1)>2-(x+5)
x>0
400
13) Jessie was given an equation to solve. She graphed the two sides of the equation as y1 and y2 and put them in the table. What is the solution to her equation? -6, 2, 0 or 3
2 (X is the Solution!)
("X marks the spot")
400
4) A camp has 700 campers who need to be put in cabin. Each cabin can have a maximum of 40 campers. Which inequality could be used to determine how many cabins, c, need to be available so that all campers have a place to stay?
700/c <= 40
400
19) Casey has a 20 ft piece of string. She is making bows that use 11 inch pieces of string.
If x represents the number of 11 inch bows that Casey cuts form the 20 ft piece of string, write an inequality for the situation AND determine the maximum number of bows she can make.
11x<=240
21 bows
500
6) Given that x=1/2 in the equation below, the value of a is what?
9-ax-4=2(ax+5)
\frac{-10}{3}
500
17) Which of these is a solution to the inequality 340-52x>30(x-16)
8, 10, 12, or 14 ?
8, the answer is x<10 and 8 is the only number less than 10.
500
14) What is the solution (x) for the problem below?
10x+12+x-4-(?)=8x-16
?=-x-24
x=-12 (one solution)
500
9) Jared started saving $20 a week. Eight weeks later his sister Lexi started saving $25 a week. How many weeks will it take for Jared and Lexi to have saved the same amount?
32 weeks
500
24) What is the smallest integer greater than the sqrt(92) AND
25) How many miles are in 10 kilometers?
24) 10
25) 6.2