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WorksheetsTMS Algebra May 11-15
Total questions: 10
Worksheet time: 20mins
7(x + 2) + 3 = 73 Step 1: Distribute (multiply x by 7 and 2 by 7)
7x + 14 + 3 = 73 Step 2: Combine like terms
7x + 17 = 73 Step 3: Subtract 17 from both sides
Step 4: Divide by 7
x = -8
x = 8
x = - 12.86
x = 12.86
Solve for n.
11(n – 1) + 35 = 3n
n= -6
n=-3
n=6
n=3
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
3
4
5
9
How many solutions exist for the given equation?
3x + 13 = 3(x + 6) + 1
infinitely many
one
two
zero
Which input value produces the same output value for the two functions?
x=0
x=-1
x=1
x=-3
Which input value produces the same output value for the two functions on the graph?
x=1
x=3
x=-1
x=-3
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
x < –3
x > –3
x < 3
x > 3
Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an initial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee?
If h represents the hourly fee, which equation models this problem?
7h+43=64
7h+7=64
h+43=64
h=43+64
-6(x - 1) - 7 = - 7x + 2
x = 2
x = 4
x = 3
x = -3
This week, Michael collected $468 for delivering newspapers. He had 40 repeat customers and 18 new ones. As an incentive, he charged the new subscribers $3 less than the repeat customers.
If x represents the amount Michael collects from each repeat customer, which equation models this problem?
40x+18(x-3)=468
18x=40(x-3)=468
40x+18x-3=468
58x-3=468
