T-1 Rev A Review for Trimester 1 Benchmark Exam
Alg 1H
Do in your spiral and show all support work!
1. Evaluate the expression 72x + 15 – x3 when x = ‫־‬2.
2. Is x = – 6 a solution of the equation 23 – 3x = – 4x + 17?
Simplify the expressions:
3.
3(x – 5) – 4(x + 3x)
4.
2(x – 8) – (x – 7)
5.
30  21x
3
Solve the equations:
1
2
x=7– x
3
3
6.
5x – 7(3 – 2x) = 36
7.
8.
x + 23 = 3(2x + 1)
9. 14 – (6 – 3c) = 4c – c
10. 3y – 2(y + 19) = 9y – 3(9 – y)
11. 2(a – 8) + 7 = 5(a + 2) – 3a - 19
12. Solve the equation for b: 12ab + 7b = 5a.
13. Solve the equation for a: 12ab + 7b = 5a.
14. Find the slope and y-intercept of the line 4x – 7y = 14.
15. Find the slope of the line containing the points (‫־‬3, 8) and (5, 2).
16. Find the x and y intercepts, sketch the graph, and label the intercepts of the equation 5x – 3y = 30.
17. Make a table of values for y =
2
x – 5. Use the values – 6, – 3, 0, 3, 6, 9 for x.
3
18. Write the equations of the horizontal and vertical lines that pass through the point (-2, -7).
19. The table of ordered pairs shows the coordinates of two points on the graph of a function. What is the
equation that describes the function?
x
y
-2
2
4
-1
20. In 1994 a company had 36 employees. By 1998 the company had grown to 108 employees. Find the average
rate of change and label your answer with units.
21. Write in slope-intercept form and sketch the line. 3x – 2y = 12.
22. Write in slope-intercept form the equation of the line that passes through (4, ‫־‬1), and (0, 3).
23. Write in slope-intercept form the equation of the line that passes through (‫־‬5, 4), and (-5, ‫־‬2).
24. Write the equation y = 
6
3
x+
in standard form with integer coefficients.
2
5
25. Write in point-slope form the equation of the line that passes through the point (4, ‫־‬9) with a slope of
1
.
5
26. Find the slope-intercept form of an equation for the line that passes through (-1, 2) and is parallel
to the equation y = 2x – 3.
27. Find the slope-intercept form of an equation of the line perpendicular to the line x – 3y = 5 and passing
through the point (0, 6).
28. Identify each as rational or irrational numbers:
29. Solve the proportion:
93
8
7

144
3
125
36
2
5
.

x3 x1
30. Does the pair of ratios form a proportion?
1.5 1
,
9
6
31. Find the final price of the item. Printer $255.00
discount 30%
tax 5.5%
32. Is the relation a function? (-4, 3), (1, -5), (7, 6), (9, 6), (1, 5)
33. If f(x) = 2x2 + 1, find f(3n).
34. Identify the domain and range of the function. (1, 4), (2, -2), (3, -6), (-6, 3), (-3, -6).
35. Find the value of r in (4, r) , (r, 2) so that the slope of the line containing them is 
5
.
3
Key
1. ‫־‬121
6. x = 3
11. all real numbers
2. yes 41 = 41
7. x = 7
12.
b
5a
12a  7
3. ‫־‬13x – 15
8. x = 4
7b
13. a 
5  12b
4. x – 9
9. No solution
4
14. m = , y-int (0, ‫־‬2)
7
5. -7x + 10
10. y = -1
3
15. m  
4
5
x – 10; Graph with y-int of ‫־‬10, and x-int of 6.
17. y values are: ‫־‬9, ‫־‬7, ‫־‬5, ‫־‬3, ‫־‬1, 1
18. Horizontal: y = -7 Vertical: x = -2
3
1
3
19. y =  x  1
20. 18 employees per year
21. y =
x – 6; Graph with y-int of ‫־‬6, and a x-int of 4.
22. y = – x + 3
2
2
1
23. x = -5
24. 12x + 10y = 15
25. y + 9 =
(x – 4)
26. . y = 2x + 4
27. . y = -3x + 6
5
17
28. Irrational; rational; rational; irrational
29. x =
30. Yes; 9 = 9
3
31. $188.32
32. No; input 1 has two outputs.
33. 18n2 + 1
16. y =
34. domain {1, 2, 3, -6, -3} range {4, -2, -6, 3}
35.
r=7
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Alg 1H T-1 Rev. A Handout