7th Grade Midterm Review

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Define a rational number.

A number that can be expressed as a ratio or a fraction. As decimals they end (terminated or repeated)

What is the value of 4 to the third power?

64

Simplify the expression 54 ÷ 3 ( 5+1)

108

Name the mathematical property shown.
(RS)T= R(ST)

The associative property.

Name the mathematical property shown.
R(S+T)=RS+RT

The distributive property.

Find the value of the expression: t-jk if t= - 9, j= - 5, and k= -3.

t-jk
- 9 - -5 X - 3
- 9 - +15
-6

Translate into algebraic symbols: "Seven more than half a number is negative twelve" DON'T SOLVE!!! :)

(n÷2) +7= -12

Use the formula for the area of a trapezoid: A= 1/2 h (b₁+b₂) -or- A= ( (b₁+b₂)h ) ÷ 2 Where h is the height and base₁ and base₂ are the bases. If h= 6ft, b₁ =5ft, and b₂ = 9ft, determine the area.

42 ft

Find the value:
|-8 + 4| + |-2| + |6|

12

What is the mean, median, mode and range of the grades:
73, 83, 73, and 90?

Mean- 79.5
Median- 78
Mode- 73
Range- 17

The NYPD makes money from the traffic tickets. It is determined that in order to make enough money to support the department, on average, a police officer on duty must give 30 tickets per month. The table below shows the number of tickets given each month. Find the value of x so that the officer can meet his quota.

January- 27
February-34
March-20
April-x

x=39

The circle graph below shows the popularity of fruits among the students at Woodland Elementary School. Use the graph to determine the percent of the students that enjoy apples.

apples=41%

Calculate the sum of the measures of all interior angles in each polygon:
a Quadrilateral
b Heptagon
c Decagon

a 360
b 900
c 1,440

The measures of two angles of a triangle are 39 and 46. Find the measure of the third angle, then state the type of triangle. You must use two words.

95, obtuse and scalene

The radius of a circle measures 6in. Use π =3.14159... to calculate it's (a) area and (c) circumference.

C=37.7 in
A=113.0 in²

A rectangle base pyramid is shown. Use the formula V= (¹/₃)lwh to calculate the volume.

V=23.333....in³

Use the laws of exponents to simplify and rewrite each:
a 7⁻²
b 7⁴ X 7⁵
c 2⁻⁷

a one over forty nine
b seven to the ninth power
c one over two to the seventh power

Define an irrational number

A number that cannot be expressed as a ratio or fraction. As decimals they do not end or repeat.

Order the following numers from the least to greatest.
|-2|, 2⁰, -10/5, 3⁻², 0⁵

-Find th evalue of each number.
-Place the numbers in order from least to greatest.
-Graph each number on the line (on the worksheet.
-Show the point and label it with the original number given.

(see worksheet and do it on that) and check with answer key)

Joanne is making a gift box with the dimensions below. How much fabric will she need to cover the entire surface area of the box.

220 cm

Joanne is making a gift box with the dimensions below. Find the volume of the box.

200 cm

Find the surface area of this cylinder.

678.6 cm

Find the volume of this cylinder .

226.1 cm

Using the formula, find the surface area of this triangle prism.

201 cm

Using the formula, find the volume of this triangle prism.

216 cm

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