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Algebra Test

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Subject
Algebra
Type
Homework
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Algebra Test
Part A: Answer each the following questions. Each solution is worth 4 ½. Show all calculations.
1. Graph the following set on a number line and express the in interval notation.

2. Simplify this expression.

 
  
 

3. Simplify this expression

  

  


4. Simplify this expression

 



5. Which property is shown by this expression?
Symmetric or inverse element of multiplication
The symmetric element of multiplication, also called inverse element, is equal to 1 match
by number. One number is inverse of another if by multiplying them we get the unit
element, which is the neutral element.

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6. Solve the equation

 

    

 



 
7. Simplify the inequality below and give your answer in interval notation.




8. Identify the x- and y- intercepts of this equation and graph the line.
 

-6
-4
-2
0
2
4
6
-6 -4 -2 0 2 4 6
y-axis
x-axis

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Algebra Test Part A: Answer each the following questions. Each solution is worth 4 ½. Show all calculations. 1. Graph the following set on a number line and express the in interval notation. {𝑥|𝑥 ≤ −2} 2. Simplify this expression. 2(4𝑥 + 1) − (𝑥 + 3) 2 ∗ 4𝑥 + 2 ∗ 1 − 𝑥 − 3 8𝑥 + 2 − 𝑥 − 3 𝟕𝒙 − 𝟏 3. Simplify this expression −42 − 33 −6 + 1 −16 − 9 −6 + 1 −25 −5 𝟓 4. Simplify this expression 8𝑥𝑦 2 + 4𝑥𝑦 − 6𝑥𝑦 2 2𝑥𝑦 2 + 4𝑥𝑦 2𝑥𝑦(𝑦 + 2) 5. Which property is shown by this expression? 1 3 1 3∙ 3 Symmetric or inverse element of multiplication The symmetric element of multiplication, also called inverse element, is equal to 1 match by number. One number is inverse of another if by multiplying them we get the unit element, which is the neutral element. 3∙ 6. Solve the equation 12(𝑥 + 5) = 𝑥 + 16 12 ∗ 𝑥 + 15 ∗ 5 = 𝑥 + 16 12𝑥 + 60 = 𝑥 + 16 12𝑥 − 𝑥 = 16 − 60 11𝑥 = −44 −44 𝑥= 11 𝒙 = −𝟒 7. Simplify the inequality below and give your answer in interval notation. 20 < 5𝑥 ≤ 35 20 35 ...
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