Rational Numbers and Expressions Quiz

Which number line shows a point representing the solution of (-2.5) + (-3.5)?

What was the temperature at sunset if the temperature at sunrise was 4°F and it was 20°F warmer at sunset?

To graph the inequality n < 4, you would plot an open circle above _____ on a number line.

To graph the inequality h ≤ -9, you would plot a _____ circle above -9 on a number line.

Order the following numbers from greatest to least: 2 3/4, -0.1, -2/3, -1.02, -1.2, -2, -0.6, -0.1, -3/5, -2, 2.75.

Identify the constants, variables, coefficients, and terms in the expression y - 2x + 6.

Evaluate the expression -5a + 10b when a = -5 and b = 8.

Evaluate the expression 4a - ¼b + 15 when a = -5 and b = 8.

What is the result of -9(7) + (1 + 9) - 25 + 5?

Evaluate the expression 9⋅[9 - (-1)] + [8(-2)].

What is the simplified result of 9(4x - 23) using the Distributive Property?

What is the simplified result of -5(7y - 10) using the Distributive Property?

Rational Numbers

Add, subtract, multiply, and divide rational numbers
Example 1: -5 x 12 = -60
Example 2: -77 + (-11) = -88
Example 3: -33 + 22 = -55
Example 4: -78 + 81 = 3
Example 5: 3.7 - (-1.3) = 3.7 + 1.3 = 5
Example 6: (-0.5)(-40) = 20
Example 7: 2/10 + 4/10 = 0
Example 8: (-1/4) * (3/8) + 9/12 = (-3/32) + 9/12 = (-3/32) + 3/4 = (-3/32) + 24/32 = 21/32
Solve for the answer to the problem and circle the final answer
Show all your work on the paper

Graphing

Graphing solutions on a number line
Graphing inequalities
Ordering rational numbers
Identifying parts of an expression (constant, variable, coefficient, term)
Evaluating expressions with given values for variables
Evaluating expressions using the order of operations
Using the distributive property to simplify expressions

Evaluating Expressions

Evaluate expressions with given values for variables
Evaluate expressions using the order of operations
Identify the constant, variable, coefficient, and term
Example Problem: Evaluate the expression y - 2x + 6

Using Distributive Property

Simplify expressions using the distributive property
Example: Simplify the expression 9(4x-23)
Answer = 9(4x) - 9(23) = 36x - 207
Example: Simplify the expression -5(7y - 10)
Answer = -5(7y) - -5(10) = -35y +50

This quiz focuses on the operations of rational numbers including addition, subtraction, multiplication, and division. It also covers graphing solutions, evaluating expressions, and applying the order of operations. Be sure to show your work clearly for full credit.