Algebra 1 Review for Final (Semester 1) Ch.1 to Ch.7

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Algebra 1 Review for Final (Semester 1) Ch.1 to Ch.7
Chapter 1
Simplify.
1.
5  10  2  4  2
4 2  5  (9  7)
2.
Write an expression for each phrase.
3. 4 minus the product of a n and 6
_______________
4. the quotient of r and 8 plus 15
_______________
Write a function rule to describe the situation.
5. The cost for a college student to get cable in his apartment is $90 set up fee and $35 per month.
Chapter 3
Solve each equation. Check your answer.
6. x + 8 = - 17
9.
10x + 8 = 6x - 32
7. 3n – 5 = 19
8. 3(x + 15) = -45
\
10. 3(t + 7) = 24 + 2t
Solve.
11. A state park charges admission of $6 per person plus $3 for parking. Jo paid $27 when her car entered the
park. Find the number of people in Jo’s car.
Solve each proportion.
2
5

12.
1 .2 k
The scale of a map is 1 cm: 25 mi.
13. Two cities are 8.3 cm apart on the map. Find Real Distance.
Simplify the expression.
14.
49
Find the length of the missing side of a Right Triangle. If necessary, round to the nearest tenth.
15.
a = 12, b = 15
16.
b = 8, c = 16
Solve each inequality. Graph the solution.
17.
m + 4 > 10
18.
–10  2y
Chapter 6
Graph each equation.
20.
y = 3x – 4
21.
Write the equation in slope-intercept form.
22.
2x + 5y = 10
(y = mx + b)
19. -2x + 3 < 13
2x + 4y = 8
23. Write an equation of a line.
m = __________
b = __________
Equation: ___________________
Write an equation in slope-intercept form for the line through the given points.
24.
(2, 5); (3, 7)
(y = mx + b)
Write an equation in slope-intercept form (y = mx + b) for a line that passes through the given point and
is PARALLEL to the given line.
25.
y = 4x + 5
Point = (2, 3)
26.) Solve the system by graphing.
y  x  3
y  32 x  2
28. Solve the system by elimination.
2 x  3 y  12
5 x  y  13
27. Solve the system by substation.
y  2x  7
4x  3y  4
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