Download Review Guide – Quarter 1 8th Grade Math I can… Distinguish

Review Guide – Quarter 1
8th Grade Math
I can…
 Distinguish between rational and irrational numbers.
 Know that examples of irrational numbers are pi and the square root of any non-perfect square such
as √17 or √65.
 Know the difference between natural numbers, whole numbers, integers, rational, and irrational
numbers.
 Convert a repeating decimal to a fraction.
 Convert a fraction to a decimal.
 Approximate the size of irrational numbers such as √28 or √65.
 Solve linear equations in one variable with one solution, infinitely many solutions, or no solutions.
 Use exponent rules for multiplication and division.
 Use square root and cube root symbols to find solutions to equations such as x2 = 16 or x3 = 27.
 Write numbers in scientific notation.
 Use exponent rules to multiply or divide numbers in scientific notation.
 Use the Pythagorean Theorem to find the unknown side in right triangles.
 Use the Distance Formula to find the distance between two points in a coordinate system.
1.) Is √52 rational or irrational?
2.) Is 8 rational or irrational?
3.) Which set of numbers does -51 belong? Circle all that apply. Natural Whole Integer Irrational Rational
4.) Which set of numbers does 8 belong? Circle all that apply. Natural Whole Integer Irrational Rational
5.) Write the fraction equivalent for 0.55.
6.) What is the fraction equivalent to 0.64?
7.) Solve. 2(3x + 1) + 2x = 8x + 1
8.) Solve. 2(4 + 3x) + 6 = 32
9.) Solve. 5(3x – 4) = 2x + 7 + 4x
10.) Solve. -4x – 12 = -12 – 4x
11.) Twice a number m is 32 less than 6 times m. What is the value of m?
12.) A hexagon has two sides that are equal. The two equal sides are 2 inches longer than each of the four
other sides. The perimeter of the hexagon is 22 inches. What is the measure of one of the shorter sides?
13.) (42)(4-3)
15.) (43)4 ÷ 43
14.) 0.23 · 0.27
16.) √0.81
17.) A square-shaped placemat has an area of 169 in2. What is the length of one side of the placemat?
18.) The volume of a cube is 729 cubic units. What is the side length of the cube?
19.) What is 300,000 written in scientific notation?
20.) Write 3.7 x 109 in standard form.
21.) What is 0.000426 in scientific notation?
22.) Mike is about 1.6 meters tall. A rock is about 2.3 x 10-3 meters tall. About how many times shorter is
the rock compared to Mike?
23.) (0.004)(0.0002)
24.) (8.5 x 103)(0.0001)
25.) (2.6 x 105) ÷ (1.3 x 102)
26.) (4 x 10-4)(6 x 107)
27.) What is the approximate distance between (-4, 3) and (1, 2)?
28.) What is the approximate distance between Y(3, 8) and Z(6, 1)?
29.) The legs of a right triangle are 4 and 7 units. What is the approximate length of the hypotenuse?
30.) The length of the hypotenuse of a right triangle is 8 cm. The length of one of its legs is 6 cm. What is
the length of the other leg?