Intermediate Algebra Problems
KnowledgeCats
intermediate_algebra_problems.docxSolution for Intermediate Algebra
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Q1. Solve the following expression- 5(B-4) = 10 Q2. Solve the following equation for the variable L. P = 2L + 2w Q3. Complete the following table for the equation y = x-3 X y -1 0 4
Q4. Find the slope-intercept equation of the line passing through (1,2) with a slope of m=3. Q5. Draw the graph of the following linear function and give the domain and range. F(x) = -1/2 X +5
Q6. Solve the following equation IxI = 3 Q7. Give the inequality whose graph is shown below. Q8. Evaluate the following expression when x=3 and y = 2 2xy – x2y Q9. Completely factor the following expression. 16x4 – 81y4 Q10. Perform the following division. (y2 + 10y + 21) / (y + 7) Q11. Solve the inequality below and write the solutions in interval notation. I2m + 3I < 13 Q12. Write the numeral 0.0685 in scientific notation. Q13. Given f (x) = -6x-1, find f(2). Q14. Write the equation of the line with a slope of 2 and passing through the point (-5,3). Q15. Simplify the following expression completely: (ab-3 /3a-2b2)2 Q16. Solve the system of equations given below. X = 3z = 12 -x -2y + z = 10 3x + 5y +2z = -7 Q17. Do the following two lines intersect? Answer yes or no, together with the point of intersection, if any. 5x + 8y = -5 -x – 1.6y = 14 Q18. Compute the determinant. 4 0 -1 3 6 -2 -2 5 1
Q19. Compute the distance between the two points
Q20. Rationalize the denominator of
Q21. At what x values does the parabola y = x2 – 5x + 4 intersect the x axis? Q22. The surface area (A) of a sphere with radius ® is given by A = 4 r2. Solve this formula for r.
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Solution for Intermediate Algebra
Q
1
. Solve t
h
e following expression
-
5(B
-
4) = 10
Q2. Solve the following equation for the variable L.
P
= 2L + 2w
Q3. Complete the following table for the equati
on y = x
-
3
X
y
-
1
0
4
Q4. Find the slope
-
intercept equation of the line passing through (1,2) with a slope of m=3.
Q5.
Draw th
e
graph of the following linear function and give the domain and range.
F
(
x) =
-
1/2 X +5
Q6. Solve the following equation
IxI = 3
Q7. Give the inequality whose graph is shown below.
Q8. Evaluate the following e
xpression when x=3 and y =
2
2xy
–
x
2
y
Q9. Completely factor the following expression.
16x
4
–
81y
4
Q10.
Perform the following division.
(y
2
+ 10y + 21) / (y + 7)
Q11. Solve the inequality below and w
rite the solutions in interval notation.
I2m + 3I < 13
Q12. Write the numeral 0.0685 in scientific notation.
Q13. Given f (x) =
-
6x
-
1, find f(2).
Q14. Write the equation of the line with a slope of 2 and passing through the point (
-
5,3).
Q15. Simplify the following expression completely
:
(ab
-
3
/
3a
-
2
b
2
)
2
Solution for Intermediate Algebra
Q1. Solve the following expression-
5(B-4) = 10
Q2. Solve the following equation for the variable L.
P = 2L + 2w
Q3. Complete the following table for the equation y = x-3
X y
-1
0
4
Q4. Find the slope-intercept equation of the line passing through (1,2) with a slope of m=3.
Q5. Draw the graph of the following linear function and give the domain and range.
F(x) = -1/2 X +5
Q6. Solve the following equation
IxI = 3
Q7. Give the inequality whose graph is shown below.
Q8. Evaluate the following expression when x=3 and y = 2
2xy – x
2
y
Q9. Completely factor the following expression.
16x
4
– 81y
4
Q10. Perform the following division.
(y
2
+ 10y + 21) / (y + 7)
Q11. Solve the inequality below and write the solutions in interval notation.
I2m + 3I < 13
Q12. Write the numeral 0.0685 in scientific notation.
Q13. Given f (x) = -6x-1, find f(2).
Q14. Write the equation of the line with a slope of 2 and passing through the point (-5,3).
Q15. Simplify the following expression completely:
(ab
-3
/3a
-2
b
2
)
2
