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26 Cards in this Set
- Front
- Back
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________ notation is an easier way to write a number as a product of many factors.
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Exponential notation is an easier way to write a number as a product of many factors.
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Write 2 raised to the 5th power in exponential notation.
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2⁵
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Write 8 raised to the 3rd power in exponential notation.
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8³
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Write an expression that shows 5 raised to the fifth power plus 15.
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5⁵ + 15
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Evaluate. 6 + 5^2
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6+ 5²= 6+25 = 31
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Evaluate. 108-4^3
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108-4³=108-64= 44
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Evaluate. 3^5-83
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3⁵-83 = 243-83=160
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Write an expression to show 7 more than y.
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y+7
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Write an expression for the following operation: subtract 18 from x.
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x-18
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Write an expression to show 6 times as many as x plus 3.
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6 (x+3)
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Given 5 + y = x, x is the _____ of 5 and y.
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Given 5 + y = x, x is the sum of 5 and y.
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The expression x+y shows a sum of two ______.
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The expression x+y shows a sum of two terms. (student may use "variables" instead of terms. This is technically correct, but it is important for the student to know that each of the variables is referring to a single term.)
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Given 4x+3, 4x is the ______ of 4 and x.
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Given 4x+3, 4x is the product of 4 and x.
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Given 5x+3, 5 and x are _____ of the quantity that is equal to 5 times x.
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Given 5x+3, 5 and x are factors of the quantity that is equal to 5 times x.
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Write an expression to show that the quotient of y and x+5 is 10.
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y/(x+5)=10
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Write an expression in which 8 is the coefficient of x-4.
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8(x-4)
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What is the correct order that operations should be performed in?
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Parentheses, exponents, multiplication & division in the order they occur, addition & subtraction in the order they occur.
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Solve for y. y+6=13
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y=7
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Solve for x. x/8=9
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x=72
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Solve for b. 5b-4=36
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b=8
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For a rectangle whose sides are 5 and 6 units, use the area formula to write and solve an equation.
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A=lxw A=5 units x 6 units A= 30 square units
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Use the formulas V=s³ and A=6s² to find the volume and surface area of a cube with sides of length s=3 units
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V=s³ V=3³ V=9 cubic units A=6s² A=6(3²) A=6(9) A=54 square units
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4 (3+x) = ?
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4 (3+x) = 12 + 4x
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y+y+y=?
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y+y+y = 3y
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32x + 24y = ?
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32x + 24y = 8(4x + 3y)
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How can you tell if two expressions are equivalent?
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Two expressions are equivalent when they name the same number regardless of which value is substituted into them.
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