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Advanced Algebra 1 st^ Quarter Review Name___________________
1. Evaluate the expression (^ )
A. 7 B. 10 C. 15 D. 30
- Evaluate the expression 45 รท 9 5๏ง + 10 รท5 2๏ง.
A. 2 B. 5 C. 26 D. 29
- Evaluate for w 1 , x 10, y 1 , and z 4 5 2
= = = = โ , if 5w^ xy z
A. โ 5 B. โ 1 C. 1 D. 5
4. Evaluate for a = โ 1, b = 2, and c = โ 3 , if (^ )
c^2 ac 4b b c
A. โ 99 B. 99
โ C. โ 9 D. 9
- Evaluate for a = 3, b = โ 2, and c = 5 , if
a b( 2 c)
2c
A. 9
โ B. 1
C. 3
D. 27
6. Solve the equation 2 a( + 3 ) = 8 โ 2a.
A. 1
B. 2 C. 11
D. no solution
- Solve the equation x^1 2 3 6
A. 13
โ B. 1 C. 7
D. 27
8. Solve the equation โ2 3y ( โ 2 ) = 4y โ 5 2y( + 1 ).
A. All reals B. No solution C. 3 4
โ D. 1
9. Solve the equation 6b โ 5 = 4 โ 3 b( + 2 ).
A. 1
B. 7
C. 5
D. 5
- Solve the equation 1 2 x 5 x^3 2 3 6 4
A. โ 6 B. 1
โ C. 1
D. 6
11. Solve the equation 4 7( โ 3y ) = 8 โ 2 6y( โ 10 ).
A. All reals B. No solution C. 0 D. 5 3
- Solve 2x โ 1 = 9.
A. x = 5, x = โ 5 B. x = 5, x = 4 C. x = 5, x = โ 4 D. no solution
20. What is the slope of the line passing through ( 4, โ 2 ) and ( 4, โ 6 ).
A. โ 2 B. 1
โ C.^0 D. undefined
- What is the slope of the line 2x โ 5y = 6.
A. 2
B. 2 C. 5
D. 6
- Find the slope of the line that is parallel to y + 2x = โ 3.
A. โ 2 B. 1
โ C. 1
D. 2
- Find the slope of the line that is perpendicular to y + 7x = 6.
A. โ 7 B. 1
โ C. 1
D. 7
24. What is the equation of the line that passes through ( โ4, 2 ) and ( 6, 8).
A. y 3 x^26 5 3
= + B. y 3 x^22 5 5
= + C. y 5 x^26 3 3
= + D. y 5 x 2 3
25. What is the equation of the horizontal line passing through ( โ3, 4 ).
A. x = โ 3 B. x 3 4
= โ C. y 4 3
= โ D. y = 4
26. What is the equation of the line that passes through ( 1, 2) and parallel to y = 4x โ3.
A. y 1 x^9 4 4
= โ + B. y = 4x โ 2 C. y 1 x^3 4 2
= โ + D. y = 4x โ 7
27. What is the equation of the vertical line passing through ( 2, 7 ).
A. x = 2 B. x = 7y C. y = 2x D. y = 7
28. What is the equation of the line that passes through ( โ3, 5 )and perpendicular to 3y = 2x โ7.
A. y 1 x^7 2 2
= โ + B. y 1 x^1 2 2
= โ โ C. y 3 x^1 2 2
= โ + D. y 3 x^9 2 2
- Find the x-intercept for the equation (^) 6x + 3y = 12.
A. ( 2, 0 ) B. 1 , 0
๏ฃฌ๏ฃญ ๏ฃท๏ฃธ C.^ (^ 4, 0)^ D.^ (^ 6, 0)
- Find the y-intercept for the equation 5x โ 2y = 10.
A. ( 2, 0 ) B. 5 , 0
๏ฃฌ๏ฃญ ๏ฃท๏ฃธ C.^ (^ 0,^ โ^5 ) D.^
- Find the x-intercept for the equation 3x โ 2y = 9.
A. 3 , 0
๏ฃฌ๏ฃญ ๏ฃท๏ฃธ B.^ (^ 3, 0^ ) C.^
๏ฃฌ๏ฃญ ๏ฃท๏ฃธ D.^
- Which of the following is not a function?
A. B. C. D.
- Solve the system of equations:
3x 4y 8 x 3y 6
A. ( 0, 2) B. ( 2, 0 ) C. 12 ,^10
๏ฃฌ๏ฃญ ๏ฃท๏ฃธ D.^
- Find the value of y in the system of equations.
3 ๐ฆ โ 5 ๐ฅ = 4 2 ๐ฆ โ 4 ๐ฅ = โ 2 A. ๐ฆ = 7 B. ๐ฆ = โ 15 C. ๐ฆ = 13 D. ๐ฆ = 4
- Find the value of x in the system of equations.
๐ฅ = 2๐ฆ 3 ๐ฅ โ ๐ฆ = 10 E. ๐ฅ = 5 F. ๐ฅ = 10 G. ๐ฅ = 2 H. ๐ฅ = 4
- Find the value of y in the system of equations.
2 ๐ฅ โ ๐ฆ + ๐ง = 8 ๐ฅ + ๐ฆ + 2๐ง = 7 โ๐ฅ + 3๐ฆ + ๐ง = โ 2 I. ๐ฆ = โ 1 J. ๐ฆ = 1 K. ๐ฆ = 2 L. ๐ฆ = 3
- Find the value of z in the system of equations.
2 ๐ฅ โ ๐ฆ โ ๐ง = 5 ๐ฅ + ๐ฆ + 2๐ง = 3 โ๐ฅ + 3๐ฆ + ๐ง = 1 M. ๐ง = (^98) N. ๐ง = (^4811) O. ๐ง = โ 118 P. ๐ง = โ (^158)
- Write the equation that represents the function shown. A. ๐(๐ฅ) = (๐ฅ + 2 )^2 + 3
B. ๐(๐ฅ) = (๐ฅ โ 2)^2 + 3
C. ๐(๐ฅ) = โ(๐ฅ + 2)^2 + 3
D. ๐(๐ฅ) = โ(๐ฅ โ 2)^2 + 3
- Write the equation that represents the function shown. A. ๐(๐ฅ)^ = โ๐ฅ + 1 โ 3
B. ๐(๐ฅ) = โ๐ฅ โ 1 โ 3
C. ๐(๐ฅ) = (^) โ๐ฅ + 1 + 3
D. ๐(๐ฅ) = (^) โ๐ฅ โ 1 + 3
- State the range of the function shown. A. (โโ,3]
B. (โโ,โ2]
C. [ 3,โ)
D. (โโ,โ)
- State the domain of the function shown. A. (โโ,โ)
B. [โ3,โ)
C. (โโ,0]
D. [ 1,โ,)
