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 > -4 and 5x – 3 > 7
4) -x + 3 > 0 or 2x – 5 ≥ 3
Algebra 1 EOC Review Absolute Value Equations
Homework-5
Solve.
1) |5 − 3𝑥| = 17 (when dividing by a negative, flip
the sign.)
2) |2𝑥 + 3| − 5 = 10
3) |3𝑥 − 3| + 8 = 14
4) 2|4𝑥 + 4| = 24
5) |7𝑥| − 16 = −9
Algebra 1 EOC Review Absolute Value Inequalities
Homework-6
Solve and graph.
1) | 𝑏 | < 2
2) |𝑏 − 6| > 11
3) |7 − 𝑏| ≤ 6 (when dividing by a negative, flip the sign)
4) |𝑏| + 5 ≥ 9
5) |𝑏| − 8 < −2
Algebra 1 EOC Review Identifying a Function
Homework-7
Tell whether the graph represents a function.
If it does, find the domain (x) and range (y).
Domain:
Domain:
Domain:
Range:
Range:
Range:
1
𝐼𝑓 𝑓(𝑥) = 𝑥 − 4
3
Find f(6)
Find f(12)
Find f(x) = 12
Algebra 1 EOC Review Graphing Functions
Homework-8
1)
2)
3)
4)
5
𝑦= 𝑥−2
3
x = 7 and y = -3
4x + 5y = 20
3x + y = 6
Explain how the parent function would move
based on the equation:
5)
6)
7)
8)
y = |x +4| - 2
y =|x - 6| + 8
1
y = − |x − 2| + 4
3
Write the equation for the absolute value graph that would move left 3
units, and up 7.5 units.
Algebra 1 EOC Review Write an equation in slope-intercept form given 2
points
Homework-9
1) (3, 5) and (0, 4)
2) (2, 6) and (4, 2)
3) (10, 2) and (2, 2)
4) (4, 3) and (3, 4)
1)
3)
2)
4)
5)
6)
7)
8)
Algebra 1 EOC Review Parallel and Perpendicular Lines
Homework-10
Write an equation of the line that passes through the given point
and is parallel to the graph of the given equation. (Same Slope)
3
2) (10,-5); y = x -7
2
1) (4, 1); y = 2x + 14
Write an equation of the line that passes through the given point and is
perpendicular to the graph of the given equation. (Opposite Reciprocal
Slope)
3) (5, 7); y =
1
3
4) (2, 1); y = 2x + 1
x+ 2
5) Write an equation parallel to y = 7x + 12
6) Write an equation perpendicular to y = -4x + 1
Algebra 1 EOC Review Point-Slope Form of an Equation
Homework-11
Write the equation with the given slope and point in point-slope form.
1) Through (-3, 4) with 𝒎 =
𝟏
𝟐
2) Through (0, -2) with 𝒎 = −
𝟐
𝟑
3) Through (-1, 3) with m = 0
𝟐
𝟑
4) 𝐓𝐡𝐫𝐨𝐮𝐠𝐡 (𝟓 , − 𝟖) 𝐰𝐢𝐭𝐡 𝐦 = 𝟓
5) Through (-6, -10) with m = -3
Algebra 1 EOC Review Standard Form of an Equation
Homework-12
Find the x and y intercepts of each equation.
Then graph the equations on graph paper.
If it is a special case, identify whether the line
is vertical or horizontal.
1) 4x – 6y = 9
2) 6x + 12y = 18
3) 2y = -8
4) -8x + 16y = 32
𝟓
5) − 𝟑 𝒙 = 𝟒𝟓
Algebra 1 EOC Review Slope-intercept to Standard and Point-Slope to
Standard
Homework-13
Convert to standard form.
1) y = -5x + 6
𝟐
2) 𝒚 = − 𝟑 𝒙 − 𝟏
3) 𝒚 + 𝟑 = 𝟒(𝒙 − 𝟏)
𝟐
4) 𝒚 + 𝟐 = 𝟑 (𝒙 + 𝟒)
Algebra 1 EOC Review Standard Form to Slope-Intercept Form and
Point-Slope Form to Slope-Intercept Form
Homework-14
Convert to slope-intercept form.
1) 3x – 2y = -16
2) 6x + 5y = -15
3) 9y = 27
4) y – 5 = -4(x + 2)
𝟓
𝟑
5) 𝒚 − 𝟔 = (x - 3)
Algebra 1 EOC Review Substitution & Elimination
Homework-15
Solve using substitution.
1) x + y = 4
y = 2x + 1
2) x – 2y = 1
3x – 6y = 2
3) x = -3y
x + 4y = 10
Solve using elimination.
4) 7x + 5y = 18
x – 5y = -2
5) 2x + 5y = 9
-3x + 2y = -4
Algebra 1 EOC Review Story Problems
Homework-16
Define the variables for each story problem. Then write the equations or write inequalities,
whichever is appropriate. You do not need to solve.
1) At Horice’s Hot Dog stand, 2 hot dogs and 3 sodas cost $7. The cost of 4 hot dogs and
2 sodas is $10.
2) Little Miss Muffett eats cottage cheese and drinks Spidy Energy drinks. She can
consume no more than 1200 calories per day. Each container of cottage cheese has
230 calories and each Spidy beverage has 425 calories. Miss Muffett consumes at
least 8 items each day.
3) The average household receives 24 pieces of mail each week. Some are bills and
some are advertisements. Each bill weights 4 ounces and each advertisements
weights 3.5 ounces. The total weight for the mail in a given week is 89 ounces.
4) Berfurd has no more than 13 minutes and wants to call at least 8 of his friends. He
tends to talk longer to his girl friends than his buddies. He spends 1.8 minutes for
each call to a girl and 1.2 minutes for each call to a boy.
Algebra 1 EOC Review Story Problems
Homework-16
Define the variables for each story problem. Then write the equations or write inequalities,
whichever is appropriate. You do not need to solve.
1) At Horice’s Hot Dog stand, 2 hot dogs and 3 sodas cost $7. The cost of 4 hot dogs and
2 sodas is $10.
2) Little Miss Muffett eats cottage cheese and drinks Spidy Energy drinks. She can
consume no more than 1200 calories per day. Each container of cottage cheese has
230 calories and each Spidy beverage has 425 calories. Miss Muffett consumes at
least 8 items each day.
3) The average household receives 24 pieces of mail each week. Some are bills and
some are advertisements. Each bill weights 4 ounces and each advertisements
weights 3.5 ounces. The total weight for the mail in a given week is 89 ounces.
4) Berfurd has no more than 13 minutes and wants to call at least 8 of his friends. He
tends to talk longer to his girl friends than his buddies. He spends 1.8 minutes for
each call to a girl and 1.2 minutes for each call to a boy.