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Ninth Grade (Grade 9) Algebraic Expressions Questions

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Grade 9 Algebraic Expressions
Simplify the expression. [math]8+5m+8p+3m+p-2[/math]
  1. [math]8m+9p[/math]
  2. [math]8m+9p+6[/math]
  3. [math]9m+8p-2[/math]
  4. [math]9m+8p+10[/math]
Grade 9 Algebraic Expressions
Simplify.
[math]2x + 3x^2 - 5x +4 - 7x^2[/math]
  1. [math]7x^2 +4[/math]
  2. [math]7x +10x^2 +4[/math]
  3. [math]-4x^2 -3x +4[/math]
  4. [math]-3x^6[/math]
Grade 9 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to [math]b(5a^2+2)+b(2a^2+5)[/math]?
  1. [math]7a^2b+7b[/math]
  2. [math]7a^2b+2b+5[/math]
  3. [math]10a^2b+10b[/math]
  4. [math](10a^2+10)b[/math]
Grade 9 Algebraic Expressions
Evaluate the expression.

[math](6)/(y+3)[/math] when [math]y[/math] is [math]9[/math]
  1. [math]1/2[/math]
  2. [math]2[/math]
  3. [math]4/11[/math]
  4. [math]3[/math]
Grade 9 Algebraic Expressions
Simplify the following expression.
[math]3y^2 - 6y + 2 + 3y^2 + 8y[/math]
  1. [math]8y^2 +2[/math]
  2. [math]6y^2 +2 +14y[/math]
  3. [math]6y^2 + 2 - 14[/math]
  4. [math]6y^2 +2y + 2[/math]
Grade 9 Algebraic Expressions
Determine the best statement that describes the following.

[math] 40x^2 - 20x + 48x - 24 [/math]
  1. It is an expression that can be simplified to 3 terms. [math] 40x^2 + 28x - 24 [/math]
  2. It is an equation can be solved for the value of x. [math] x =6//17 [/math]
  3. It is an expression that can be simplified to 2 terms. [math] 68x -24 [/math]
  4. It is an expression that can be simplified to a term. [math] 44x [/math]
Grade 9 Algebraic Expressions CCSS: HSA-SSE.A.1, HSA-SSE.A.1a
Beth wants to go on a road trip this summer. She will be taking her car, which gets an average of 19 miles per gallon in fuel economy. Beth creates an expression to calculate the total cost of gas for her trip, [math]1/19 x y[/math], where x is the typical price of gas (in dollars per gallon) where she will be driving. What does the factor [math]y[/math] represent?
  1. The number of miles she expects to drive.
  2. The total cost of gas, for one fill up.
  3. The number of times she expects she will have to stop to fill up her car with gas.
  4. The total amount of gas, in gallons, needed to fill her car's gas tank.
Grade 9 Algebraic Expressions
Simplify the following expression.
[math]-5x - 2( 2x -4) - 5[/math]
  1. [math]-9x + 3[/math]
  2. [math]1x +3[/math]
  3. [math]-9x - 13[/math]
  4. [math]1x -13[/math]
Grade 9 Algebraic Expressions
Select all the algebraic EXPRESSIONS.
  1. [math]3x = 9[/math]
  2. [math]4b[/math]
  3. [math]5x - 8[/math]
  4. [math]3x + 5 = 10[/math]
Grade 9 Algebraic Expressions
Simplify the expression.
[math]-5y^3 + 2y^2 - 6y - 10y^2 + 10y^3 + y[/math]
  1. [math]5y^3 - 8y^2 - 5y[/math]
  2. [math]-5y^3 + 8y^2 + 5y[/math]
  3. [math]15y^3 + 12y^2 + 7y[/math]
  4. [math]-15y^3 - 12y^2 - 7y[/math]
Grade 9 Algebraic Expressions
A mathematical phrase that includes at least one operation and variable is called                        .
  1. a numerical expression
  2. an algebraic expression
  3. a term
  4. a factor
Grade 9 Algebraic Expressions CCSS: HSA-SSE.A.1, HSA-SSE.A.1a
Jake and Will work at a bakery. If J represents the number of cakes Jake can bake per day, W represents the number of cakes Will can bake per day, x represents the number of days Jake works in a week, and y represents the number of days Will works in a week, what does the expression [math]xJ + yW[/math] represent?
  1. The number of hours Jake and Will work in a week.
  2. The number of cakes made by Jake and Will in a week.
  3. The total number of cakes both Jake and Will could bake per day.
  4. The combined number of days Jake and Will work in a week.
Grade 9 Algebraic Expressions
What are the coefficients of the given mathematical expression?
[math] 7p^3r - 5t^3s -21p^2r - 10s^3t^3 [/math]
  1. [math] 3,1; 3,1; 2,1; 3,3 [/math]
  2. [math] 7, -5,- 21, -10 [/math]
  3. [math] 3, 3, 2, 3, 3 [/math]
  4. [math] -29p^5r^2s^4t^6 [/math]
Grade 9 Algebraic Expressions
Combine like terms.
[math]4x^2 + 5z + 18x^2[/math]
  1. [math]14x^2 + 5z[/math]
  2. [math]22x^2 + 5z[/math]
  3. [math]22x^2 - 5z[/math]
  4. [math]-18x^2 - 5z[/math]
Grade 9 Algebraic Expressions
The best definition for like terms is
  1. the number you multiply a variable by.
  2. a letter that represents a number.
  3. terms having the same variables and exponent.
  4. a polynomial.
Grade 9 Algebraic Expressions
[math]3m^2 - 8 m + 2[/math] is an example of
  1. like terms.
  2. a coefficient.
  3. a term.
  4. an expression.
Grade 9 Algebraic Expressions
[math]3y + 8[/math] is an example of which of the following? Select all that apply.
  1. monomial
  2. binomial
  3. trinomial
  4. polynomial
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