Math 6 Reviewer for Semi-Finals Examination

Practice solving at home.

Operations on Integers

Solve the following.

a)    What is 8 + (-12)?

b)    You owe AED124. on your credit card. You make a AED85 payment and then purchase AED65 worth of clothes at Splash. What is the integer that represents the balance owed on the credit card?

c)    Subtract (-4) – (-23)

d)    Solve: [(−3) + 4]³ × (−6) ÷ [(2 − (−4)) × 3]

e)    Some number added to 3 is equal to -16. What is the number.

f)     The difference of 11 and |-33| is

g)    Add (-3) + 11 + (-1) + (-4)

h)    The product of |-5 | and (-2) is

i)     What is the sum of -12 and -9?

j)     Find the quotient: 24 ÷ (-6)

k) A monkey sits on a limb that is 32 ft above the ground. He swings up 6 ft, climbs up 8 ft more, then jumps down 18 ft. How far off the ground is the monkey now?

l) What is the product of (-3)² and (-1)¹⁰?

m) From the top of a mountain to the floor of the valley below is 3,206 feet. If the valley is 105 feet below sea level, what is the height of the mountain?

n) Solve |21 + (-5) + (-7) |

Algebraic Expression, Equation and Inequality

1. It is a mathematical statement that two or more expressions are equal.
2. In the expression m³ + 12m²n, what are the coefficients?
3. It represents any number from a given replacement set.
4. It is a branch of mathematics which generalizes the facts in arithmetic.
5. It is algebraic relation showing that a quantity is greater than or less than another quantity.
6. It contains numbers, operations and at least one variable.
7. It can be a signed number, a variable, or a constant multiplied by a variable or variables and separated by plus or minus.
8. How many terms are there in the expression: 2x³ + xy – 2  
9. x²y + 3x²y < 2 is an example of ______________
10. It is a value that does not change.
11. It is the number that is multiplied by the variable in an algebraic expression

Study the given expression and answer the questions that follow.

a³b – 4ab² + 20

What are the terms?       ________________________

What are the variables?    ________________________

What are the coefficients? ________________________

Solve.

Some number added to -8 is 28. Divide this number by -6. Then, multiply by -4.

What is the final number?

Simplify using PEMDAS.

[3² × (2 − 4)] ÷ 2 + (−2)²

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