Name

Review to the Math 7 Final:

  1. PEMDAS
  1. 7 + (6 . 52 + 3) =
  2. 6 / 3 + 4 . 2=
  3. 5 . 3 - 12 ÷ 4 + 8 =
  1. Simplifying /Evaluating/Writing algebraic expressions
  1. Simplify 8x + 4 - 2x - 3x -5
  2. 8k – 6m when k = 5 and m=7
  3. (a + d)2 for a=3 and d =4
  4. abc if a = 4, b=-7, c=-2
  5. a/c if a=4, c=-2
  6. |a| - b if a = -3 and b=4.
  7. Write the expression for “Triple the number of people”
  1. Exponents
  1. Write as a product of exponents: 3. 3. 3. 3.8.8.8 =
  2. Evaluate 79/77 write as a positive exponent =
  3. Evaluate 25 – 82 =
  1. Equation
  1. Solve for x: 76 + x =45
  1. Solve for x: 144 – 9x = 3x
  1. Solve for x: 13 + 5(8 –x) = -7
  1. Write the equation for: The difference between a number and 5 is 42.
  1. Solve for x: 15 = x

3

  1. Areas: Find the area of each polygon.
  1. Perimeter/Circumference/Volume
  1. Find the perimeter if a square whose side is 6⅜
  1. Find the circumference of a circle whose diameter is 5ft.
  1. Find the perimeter of a rectangle whose base is 9.3 and height is 3.7
  1. What is the volume of
  1. Decimal Numbers
  1. Fill with <, >, = 6.08 6.8
  2. Order from least to greatest:

1.7, 0.17, 1.07, 0.07, 1.007

  1. Round 873.375 to the nearest hundredth.
  2. Write .76 as a fraction in simplest form.
  3. Write 64.3% as a decimal
  1. Fractions
  1. Write 4/25 as a decimal and also a percent.
  1. What is the decimal equivalent of 9/11?
  1. Write 24in simplest form?

32

  1. Convert 5 to a decimal number.

8

  1. Fill with <, >, = 3 5

5 8

  1. Percents

a. What percent is represented by the shaded area?

  1. Mary found that ⅙ of the students are allergic to peanuts. What percentage of students are allergic (to the nearest percent)?
  2. 85% of days in July are sunny. What fraction of days in July are sunny? (in simplest form)
  3. 43 is 20% of what number?
  4. What percent of 84 is 27 (to nearest percent)?
  5. Write 3 as a percent?

10

  1. Express .625 as percent (rounded to the nearest whole percent)?
  2. Mike scored in 75% of the games he played. If he played in 64 games, in how many did he score?
  3. Find the percent of change if the number of people attending the wedding goes from 85 to 125.
  4. What is the tax to the nearest cent if you buy a video game for $54 and the tax rate is 8%.
  5. How much interest do you earn if you have $300 in your savings account for 3 years and a rate of 2%? (p x r x t)
  1. Conversions
  1. 335 km = meters.
  2. 72 inches = feet.
  3. 16 quarts = gallons
  1. Scientific Notation
  1. Write 19600. In scientific notation.
  2. Write .0000532 in scientific notation.
  3. Write 9.63 x 10 5 in standard form.

12. Mean, Mode, Median

  1. Find the mean of 11,4, 12, 5, 21, 9, 14, 5, 9, 26, 11, 10, 9, 7
  2. Find the median of the same data in part a.
  3. Find the mode of the data in part a.
  1. Inequalities
  1. Write the inequality to describe this graph?

  1. Graph the solution of x – 4 -2

  1. Solve 8 + 2y ≤ -4
  1. Prime Numbers, Prime Factorization, GCF, LCM
  1. Circle all prime numbers 56, 21, 13, 19, 2, 27, 129
  2. What is the prime factorization of 162?
  3. What is the greatest common factor of 36 and 144
  4. Find the least common multiple of 4, 8, 12
  1. Numbers
  1. What is the opposite of 6?

b. Evaluate | -7|.

c. -7 + (-11) =

d. Joe was in a building that has many subfloors. He was on the 3rd floor.

He traveled down 5 floors and then down two more floors. What floor did he end up on?

e.Subtract -4 – (-2)

f. Multiply -6(-7)

g. 72 ÷ (-9)

h. Find the square of 6.

i. Simplify √49

  1. Probability
  1. If you have a choice of 4 different shirts and three different pants and 2 different pairs of shoes, how many outfits can you make?
  2. A bag of candy contains 5 cherry, 6 watermelon, 4 strawberry, 2 lemon, and 8 pineapple. What is the probability that you will choose a cherry candy?
  1. Pythagorean Theorem. Find the length of x.
  1. Geometry
  1. The measure of angle x is 120o. Is it a straight angle, right angle, obtuse angle or an acute angle?
  2. What is the complement of a 54o angle?
  3. Draw an equilateral triangle, an isosceles triangle, a scalene triangle.
  1. Are the following triangles similar?
  1. Classify each angle.
  1. Proportions
  1. What is the unit if Kyle drove 523 miles in 8 hours?
  2. Solve the following proportion.

a = 15

4 10

  1. If the scale on a map is 1 inch = 100 miles and the distance between San Antonio Texas and Austin Texas is .75 inches apart on the map. How many miles are these two cities truly apart?
  2. Mary uses 5 lbs. of apples to bake 2 pies. How many lbs. would she need to bake 10 pies?
  1. A 12 ft. tree casts a 9 ft. shadow. How long if the shadow of nearby birdbath that is 3 ft. tall?
  2. How tall is the gas tank?