Exam 3: Introduction to Algebra

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Simplify the expression. −2(5y2+7y−6)−3(13y2−6y+8)- 2 \left( 5 y ^ { 2 } + 7 y - 6 \right) - 3 \left( 13 y ^ { 2 } - 6 y + 8 \right)

(Short Answer)
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Solve the equation. 6(x−4)=5(x−3)6 ( x - 4 ) = 5 ( x - 3 ) x=x = __________

(Short Answer)
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Simplify the expression by combining similar terms. −2y−(−8y)- 2 y - ( - 8 y )

(Multiple Choice)
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Find the indicated sum or difference. (7z2+4z)+(8z2−3z+9)\left( 7 z ^ { 2 } + 4 z \right) + \left( 8 z ^ { 2 } - 3 z + 9 \right)

(Short Answer)
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Translate the verbal statement -y is negative using an inequality symbol.

(Short Answer)
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Simplify the expression. 6x+5+4x−16 x + 5 + 4 x - 1

(Multiple Choice)
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Use the multiplication property of equality to solve the equation. G−10=−1\frac { G } { - 10 } = - 1

(Multiple Choice)
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Solve the equation. 6(y+5)+3=2y+216 ( y + 5 ) + 3 = 2 y + 21 y=y = __________

(Short Answer)
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Find the indicated sum or difference. (−5)y+7y+10y( - 5 ) y + 7 y + 10 y

(Short Answer)
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How many terms are contained in a binomial?

(Short Answer)
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Solve the equation. A3+5=−12\frac { A } { 3 } + 5 = - 12

(Multiple Choice)
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Simplify the algebraic expression. 8(a−2)+(3a+2)8 ( a - 2 ) + ( 3 a + 2 )

(Multiple Choice)
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Graph the solution for the given inequality. −5x<10-5 x<10

(Multiple Choice)
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Solve the equation. 5+(−u)=185 + ( - u ) = 18 u=u = __________

(Short Answer)
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Give the degree of the polynomial. 8xyz+z8 x y z + z

(Multiple Choice)
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Simplify the expression. 20z−3z20 z - 3 z

(Multiple Choice)
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Graph the solution for the given inequalities.
Match each graph below with the letter of the corresponding inequality.
−5x<−15-5 x<-15
2y<62 y<6
Correct Answer:
Verified
Premises:
Responses:
−5x<−15-5 x<-15
2y<62 y<6
−5x<15-5 x<15
−x>−5-x>-5
−5x>−15-5 x>-15
−3≥x3-3 \geq \frac{x}{3}
−x<−5-x<-5
−x<5- x<5
−5x>15-5 x>15
−3≤x−3-3 \leq \frac{x}{-3}
(Matching)
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The degree of a polynomial is the same as

(Multiple Choice)
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Simplify the expression. (20x−11y)−(18x+9y)( 20 x - 11 y ) - ( 18 x + 9 y )

(Short Answer)
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Simplify the algebraic expression. (z+7)(z+7)( z + 7 ) ( z + 7 )

(Multiple Choice)
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