Download Algebra Warm

The following problems are a review of Pre-Algebra. They are a required pre-requisite skills for
Algebra. Please take time to review the following problems. The answers are on the last page. If
you need help, then please click on the links next to the problems and watch the short video.
Addition
EX 1/
Addition-Negative numbers
Subtraction
EX 2/
b)
Subtraction-Negative numbers
Multiplication and Division
EX 3/
b)
Mulitpication and Division of negative numbers
Multiplying Fractions
EX 4/ Find the product 6  66
11 20
Adding Fractions
EX 5/ Add: 1  5
12
EX 8/ Simplify
Adding fractions
18
Order of operations
EX 6/ Simplify
EX 7/ Simplify √
Multiplying fractions
Mulitpication and Division of negative numbers
Radicals
Order of operations
EX 9/ Simplify
Percent’s, Fractions, Decimals
EX 10/ Convert
Percents
Percent Problems Percent problems 1
EX 11/ A shirt that costs $40 originally is 20% off. How much will the shirt cost before tax?
Adding and subtracting expressions
EX 12/ Simplify
Adding and subtracting expressions
Multiplying
EX 13/ Multiply:
Expressions multiplying
1
Exponent rules Exponent rules
EX 14/Simplify:
a)
b)
Distribution
EX 15/Multiply:
Distributing
EX 16/ Simplify
Expressions simplifying
EX 17/Simplify
monomial multiplication
EX 18/ Multiply 4 x  32 x  5 Polynomials multiplying foil box
Translating Expressions
EX 19/Translate: Five times the difference of a number and three. Translations
Solving linear equations (in order)
One step:
EX 20/ Solve. x  5  4 Linear equations- one step
Two steps:
EX 21/ Solve.
Linear equations- Basic
Simplifying before solving: Linear equations- Simplify
Combining like terms:
EX 22/ Solve.
Distributing:
EX 23/ Solve.
Variables on both sides of the equal sign:
EX 24/ Solve.
Linear equations- isolate
Plotting points
EX 25/Plot the point (4,-3). Plotting points
Solutions of an equation
EX 26/Is (5,2) a solution to 5x-4y=7 Solutions to a linear equation
Graphing a linear equation
EX 27/Graph the line y=4x-5. Graphing a linear equation
2
Answers:
1. -8
2. a) -96, b) -10
3. a) -175, b) 4
4. 9/5
5. 13/36
6. -49
7. 9
8. 4
9. 69
10. 1/4, 0.25
11. $32
12.
13.
14.
15.
16.
17.
18.
19. 5(x-3)
20. 9
21. 1
22. 0
23. -3
24. 6
1
y
x
–1
1
2
3
4
5
–1
–2
–3
25.
26. No, 25-8=17
10
y
9
8
7
6
5
4
3
2
1
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
x
1
2
3
4
5
6
7
8
9 10
–2
–3
–4
–5
–6
–7
–8
–9
27.
–10
3