1st Semester Final Exam Review

3rd Period – Wednesday, January 18th

4th Period – Thursday, January 19th

1st Quarter Concepts Add, subtract, multiply, and divide whole

numbers, fractions, and decimals in word problems. Will involve tax, percentages off, one and

two step problems, etc.“Shirt cost $20 with 9% tax”

$20 • 0.09 = $1.80, so $20 + $1.80 = $21.80

Factors and MultiplesFactors of 8: 1, 2, 4, 8Multiples of 8: 8, 16, 24, 32, etc.

1st Quarter Concepts Lowest Common Multiples

Find the LCM of 6 and 4:6: 6, 12, 18, 24, 30, 36, …4: 4, 8, 12, 16, 20, 24, 28, …

Greatest Common FactorFind the GCF of 12 and 20:

12: 1, 2, 3, 4, 6, 1220: 1, 2, 4, 5, 10, 20

1st Quarter Concepts Place Value

Find the place value of the digit 5 in the number 12,536,789.23

The 5 is in the hundred thousands place.

RoundingRound 14,564 to the nearest thousand.

Look at the number to the right. It is 5 or higher, so you round up.

The answer is 15,000!

1st Quarter Concepts Ordering

Order 0.5, 0.53, and 0.506 from smallest to largest:

Add ‘0’ to make them look similar.0.500, 0.530, and 0.506, so…The answer is 0.5, 0.506, 0.53

Simplifying FractionsReduce to lowest terms.15

2015 ÷ 5 = 320 ÷ 5 = 4

1st Quarter Concepts Common Conversions

How many cups in 2 quarts? (1 qt = 2 pints, 1 pint = 2 cups)

2 qts = 4 pints, 4 pints = 8 cups

Mean, Median, and ModeMean = average – add and then divideMedian = order from least to greatest, find

middle number.Mode = the number that appears the most.

1st Quarter Concepts Mean – Missing Value

Your first three test scores are 79, 88, and 80. What must you score on the next test to achieve an 85 average?

85 • 4 = 340 pts needed79 + 88 + 80 = 247 pts currently haveYou need 340 – 247 = 93 on the next test.

Reading Tables and ChartsYou will be asked to make simple

computations from information given on a chart or table.

2nd Quarter Concepts Writing Expressions and Equations“three less than the product of two and x”

2x – 3“Chris is one year more than twice as old

as Tom. Chris is 15 years old. How old is Tom?”

2t + 1 = 152t = 14

t = 7 years old

2nd Quarter Concepts Simplifying Expressions

Simplify: 3x – 5 + 4x + 97x + 4

Solve Equations3x + 6 = 18

3x = 12x = 4

Plot points on a Coordinate Plane(x, y) – x-coordinate is plotted side to side

y-coordinate is plotted up and down

2nd Quarter Concepts Graph an Equation on a Coordinate Plane

y = 2x – 2

x y0 -21 02 2

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2nd Quarter Concepts Find Slope (m)

m = y2 – y1

x2 – x1

Find the slope of the line going through (3, 5) (4, 9)

9 – 5 44 – 3 1m = =

= 4

2nd Quarter Concepts Find Equation of a Line given: m & b,

m & one-point, and two-points

1. m = 3, b = -5 y = 3x – 5

2. m = 2 (2, 8)y = mx + b8 = 2(2) + b8 = 4 + b4 = b, so y = 2x + 4

3. (2, 5) (4, 13)

13 – 5 8 4 – 2 2 m = = =

4m = 4, (2, 5)5 = 4(2) + b

5 = 8 + b-3 = b

y = 4x – 3

2nd Quarter Concepts Use the Distance Formula

√(x2 – x1)2 + (y2 – y1)2

Use the Midpoint Formula x1 + x2 y1 + y2

2 2( , )