Variables and Expressions
Provide an algebraic expression from the following verbal expression:
18 decreased by 3 times d
18 - 3d
Evaluate 4(78.95) + 3(68.95)
522.65
Name the Property: x = x
Reflexive Property
You can use the distributive property to make what easier?
mental math
Name the reciprocal: 3 4/5
5/19
Write the verbal expression for the following algebraic expression:
25 + 6x2
sample answer: 25 plus 6 times x squared
Evaluate 16 - 8 ÷ 22 + 14
28
Name the Property: x(8k) = 8x(k)
**don't forget to specify the operation used**
Associative Property of Multiplication
Use the distributive property to rewrite the numerical expression and solve: 210(5)
Sample answer:
(200 + 10)5
1000 + 50
1050
Find the perimeter of a rectangle with a length of 14 cm and width of 19 cm.
66 cm
Name the terms and coefficients of the following algebraic expression:
5x3 + 2m2 + 17
Terms: 5x3, 2m2, 17 (3 terms)
Coefficients: 5 and 2
Evaluate (23 -5)/(15+9).
Provide answer in simplest term.
1/8 or 0.125
Name the Property: t + 0 = t
Additive Identity
Simplify using the distributive property:
10(3 - 2p) + 7
-20p + 37
Write the equations for the circumference and area of a circle.
Circumference: 2πr
Area: πr2
Explain the difference between a numerical, algebraic, and verbal expression.
numerical: contains only numbers and operators
algebraic: contains variables, numbers, and symbols
verbal: contains words
Evaluate 3x2 + (2y + z3) if x = 4, y = 5, z = 3.
85
Two numbers whose product is 1 are called what? Provide both mathematical names.
Reciprocals or multiplicative inverses
Simplify using the distributive property:
2(7 + 4x) + 3(-2x - 3)
2x + 5
Find the circumference and area of a circle with a diameter of 25 in. Round to the nearest tenth.
Circumference: 78.5 in
Area: 490.9 in2
Jocelyn makes x dollars per hour working at the grocery store and n dollars per hour babysitting. Write an expression that describes her earnings if she babysat for 25 hours and worked at the grocery store for 15 hours.
15x + 25n
Akira bought one new book for $20 and three used books for $4.95 each. Write and evaluate an expression to find how much money the books cost with a 2.9% Colorado sales tax.
Expression: 20 + 3(4.95) + 1.01065
Cost: $35.86
Evaluate 6 + 4(19 - 15). Provide each step used to evaluate. Name the property used in each step.
6 + 4(19) + 4(-15) <---- distributive property
6 + 76 + (-60) <---- substitution
82 + (-60) <---- substitution
22
Simplify using the distributive property:
-6(-6x - 7) - (-3 + 4x)
32x + 45
Kevin's scores on the first four science tests are 88, 92, 82, and 94. What score must he earn on the fifth test so that the mean will be 90?
94