Algebra 1 EOC Review Solving Equations with Fractions
Homework-1
Solve:
𝟏)
2)
3)
4)
5)
𝟑𝒙 − 𝟏
= −𝟏
𝟓
𝟑
𝟒
𝟐
𝟑
(𝒙 − 𝟓) = −𝟏𝟐
(𝒏 − 𝟑) = 𝟖
𝟓
𝒂+𝟑
=
𝟐𝒙+𝟑
𝒙+𝟐
𝟒
𝒂+𝟏
=
𝟑
𝟐
Algebra 1 EOC Review Literal Equations
Homework-2
𝑓+𝑔
3
1) 𝑆𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑔:
𝑦=
2) Solve for m:
k = hm – j
3) Solve for c:
A = h(b – c)
4) Solve for y:
ax + by = c
Algebra 1 EOC Review Graphing Inequalities
Homework-3
Solve and graph.
1) 3 – x < -4
2) 12b – 5 ≤ 8b + 7
3) 4(x + 2) ≤ 4x + 8
4) 2y – 11y + 8 > 2(-2y + 9)
5) 4 – 3x ≥ 5 + 3x + 17
Algebra 1 EOC Review Graphing Compound Inequalities
Homework-4
Solve and graph.
1) − 2 ≤ 𝑟 + 3 < 4
2) 2w + 3 < 7 or -3w + 4 ≤ -17
3) 5 – 3x < -3 and 5x – 3 > 10
4) -x + 3 < 0 or 2x – 5 ≥ 3
Algebra 1 EOC Review Absolute Value Equations
Homework-5
Solve.
1) |5 − 3𝑥| = 17
2) |2𝑥 + 3| − 5 = 10
3) |3𝑥 − 3| + 8 = 14
4) 2|4𝑥 + 4| = 24
5) |7𝑥| − 16 = −9
Algebra 1 EOC Review Identifying a Function
Homework-7
Will the graphs or the set of points determine a function?
1.
2.
3.
4. (3,4) (8,4) (9,6) (10,6)
5. (3,4) (4,8) (9,6) (9,7)
6. A vertical line
7. The line y = 7.
Algebra 1 EOC Review Using Function Notation
Homework-8
Evaluate or solve each.
1. Find f(-2) when f(x) = 3x – 7.
2. For the domain of {-3,0,3}, find the range of values for f(x)= -x + 6.
3. For f(x)=2x + 1, and f(x) = -11, find x.
4. Solve for x when f(x) = 5 and f(x) =
5
9−4𝑥
Algebra 1 EOC Review Slope-Intercept form of Linear Equations
Homework-9
Determine the equation for the line that contains the given points. Graph it.
Give the y-intercept and slope if possible.
1. x -2
-1
0
1
2
3
y 22
19
16
13
10
7
2. x 2
y -6
4
0
6
6
8
12
3. (5, -5) (8, 7)
4. (9, 4) (-8, 4)
5. (-9, 4) (-9, 8)
Algebra 1 EOC Review Point-Slope form of Linear Equations
Homework-10
Determine the equation for the line that contains the given points in pointslope form. Convert your answer into slope-intercept form. Graph each.
1. (4, 3) and (9, -2)
2. (1, -5) and (6, -7)
3. (3, 5) and (-6, 5)
4. (-2, 7) and (-2, 10)
Algebra 1 EOC Review Standard form of Linear Equations
Homework-11
Determine the x and y-intercepts from the standard form of the linear
equations. (You may have to put the equation into standard form first.)
Graph each.
1. 3x + 4y = 12
2. 5x – 6y = 2
3. y = 3x – 7
1
4. y = x + 12
3
Algebra 1 EOC Review Parallel and Perpendicular Lines
Homework-12
Determine whether or not the two given lines are parallel, perpendicular, or
neither. You may need to transform them into the same form first.
3
−2
1. 𝑦 = 𝑥 − 7 𝑎𝑛𝑑 𝑦 =
𝑥+5
2
2. 𝑦 =
3
2
3
𝑥 − 7 𝑎𝑛𝑑 𝑦 −
2
3
𝑥 = −8
3. 2y = 3x + 12 and 3x – 2y = 10
4. x = 7 and y = 7
Algebra 1 EOC Review Sequences
Homework-13
Decide if the sequence is arithmetic or geometric. Give the term being
asked for.
1. an = an-1 + 6
a1 = 5
a4 = ?
2. an = an-1 - 3
a2 = -10
a3 = ?
3. an = an-1 x -2
a1 = -10
a5 = ?
Write the equation for the sequence of numbers given.
4. 3, -9, 27, -81…
5. 3, -9, -21, -33…
Algebra 1 EOC Review Solving Systems of Equations
Homework-14
Solve each system of equations using substitution or elimination. Briefly
describe the graph of your solution.
1. 3y + 6x = 9 and y = 2x - 9
2. 2x + 3y = 6 and 3x – 4y = -8
3. y = 3x + 5 and 3x – y = -5
1
4. x – 8y = -48 and y = x - 2
8
Algebra 1 EOC Review Solving Inequalities with 2 Variables
Homework-15
Graph the solution set of each inequality.
1. y ≤ 2x + 3
2. 3x + y > 0
Graph both inequalities and show the solution of the system.
3. y ≤ x – 1 and y > 3/2 x + 5
4. y ≥ -4 and x > -3
Algebra 1 EOC Review Operations with Exponents
Homework-16
Simplify each expression.
1. 2x5 + 4x5
2. 2x5 (4x5)
3. (2x5)3
4. 2x5 ÷ 4x3 (hint: write it as a fraction)
5. (2x + 4)2
6. (3x2)-4
7. (4x2yz-3)2
x3 y-4 z
Algebra 1 EOC Review Exponential Functions
Homework-17
.
1.
2.
Algebra 1 EOC Review Statistical Plots
Homework-18
Answer each question.
1.
2.
Algebra 1 EOC Review Measures of Center and Variation
Homework-19
.
1.
2.
Algebra 1 EOC Review Radicals
Homework-20
Simplify each expression.
1.
2.
Algebra 1 EOC Review Multiplying Polynomials
Homework-21
Simplify each expression.
1.
2.
Algebra 1 EOC Review Factoring
Homework-22
Rewrite each expression as the product of factors.
1.
2.