Exam 3: Introduction to Algebra

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Multiply the algebraic expression. (4)(3a)(4a)( 4 ) ( 3 a ) ( 4 a )

(Multiple Choice)
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Simplify the algebraic expression. 5(x+y)+6xy5 ( x + y ) + 6 x - y

(Multiple Choice)
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Solve the following equation. 7x49=217 x - 49 = 21

(Multiple Choice)
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Solve the equation. 3z+1=z+73 z + 1 = z + 7 z=z = __________

(Short Answer)
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Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. x2t5t2x5x ^ { 2 } t ^ { 5 } t ^ { 2 } x ^ { 5 }

(Short Answer)
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What is the numerical coefficient of the term -9 b 2 ?

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Solve the equation. 5x+10=255 x + 10 = 25

(Multiple Choice)
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Match each solution below with the letter of the corresponding equation.
x = 1- 1
x4=13x - 4 = - 13
x = 77
x+2=1x + 2 = 1
x = 33
x2=5x - 2 = 5
Correct Answer:
Verified
Premises:
Responses:
x = 1- 1
x4=13x - 4 = - 13
x = 77
x+2=1x + 2 = 1
x = 33
x2=5x - 2 = 5
x = -9
x+2=5x + 2 = 5
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Solve the equation. 9z+1=10z79 z + 1 = 10 z - 7 z=z = __________

(Short Answer)
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Solve for the variable that is capitalized. Assume that none of the variables is 0. x+Y=Zx + Y = Z

(Short Answer)
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Solve the equation. A5+5=15\frac { A } { 5 } + 5 = - 15 A=A = __________

(Short Answer)
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Graph the solution for the inequality. x36\frac{x}{-3} \geq 6

(Multiple Choice)
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Find the miles per gallon to the nearest tenth of a gallon. Odometer Start : 47,311 Odometer Finish : 47,587 Gallons Used : 17.8 __________ mpg

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Solve the following equation. 7W=154- 7 W = - 154

(Multiple Choice)
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Solve the equation. 3=116- 3 = \frac { \infty } { 11 } - 6

(Multiple Choice)
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Solve the equation. 4A+6=104 A + 6 = 10 A=A = __________

(Short Answer)
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Simplify the algebraic expression. 6(4x37x2+6x2)+3(2x22x4)6 \left( 4 x ^ { 3 } - 7 x ^ { 2 } + 6 x - 2 \right) + 3 \left( 2 x ^ { 2 } - 2 x - 4 \right)

(Short Answer)
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Simplify the expression. (2x7)2( 2 x - 7 ) ^ { 2 }

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Find the indicated sum or difference. 5s7t10s+t5 s - 7 t - 10 s + t

(Multiple Choice)
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Find the indicated sum or difference. (9y22)(2y22)\left( 9 y ^ { 2 } - 2 \right) - \left( 2 y ^ { 2 } - 2 \right)

(Multiple Choice)
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