Algebra 1 whole unit test
Introduction :
In the whole unit test of algebra 1, we can have questions from the following topics:
I. Arithmetic:
(i) Integers
(ii) Fractions
(iii) Decimals
(iv) Real numbers
II. Algebra:
(i) Basic Laws
(ii) Inequalities
(iii) Exponents
(iv) Polynomials
(v) Rational functions
(vi) Simultaneous equations
III. Arithmetic and geometric progression
IV. Analytical Geometry
V Permutations and combinations
Let’s see few questions on these topics where the pattern of the questions can be expected in the whole unit test.
Questions on algebra 1 whole for unit test:
1. Jasmine has to mix two same fruit juices of different percentage of pure fruit juice in it. One juice has 25% another juice of 2 liters with 10% in it. The final mixture need to have 15% fruit juice in it. How many liters of 25% percent juice needed to make a mixture of 15% fruit juice in it?
[Ans: 1 liter]
2. Can this given relation { ( 1,2), (3, 4) , ( 5, 6) , ( 7, 9)} be a function?
[ Ans: Yes it is a function]
3. From an airport, two airplanes started leaving in the opposite directions. They were traveling at a speed of 400 miles per hour and the other at a speed of 250 miles per hour. How long will it take for them to have a distance 1625 miles between them?
[Ans: 2.5 hours]
4. A pipe can fill a water tank in 20 minutes. Another pipe can fill the same tank in 30 minutes. How long will take to fill the tank if both the pipes are on?
[12 minutes]
5. Simplify the fraction `[[3x]/5]/[x/10+[3x]/5]` .
[Ans: `6/7` ]
More questions on algebra 1 for whole unit test:
6. Divide `[[x^2 + 8x +16]/[x + 3]] ` by `[[2x + 8]/[x^2 - 9]]` .
[Ans: [`[[(x+4)(x-3)]]/2` ]
7. The area of a triangle is 168 square centimeters. The height of the triangle is 4 centimeter more than twice its base. Find the length of the base of the triangle.
[Ans: 12 cm]
8. The equation of a curve is given by y = 2x2 – 2x + 5. How many times will cross the x axis?
[Ans: Never crosses the axis]
9. Find the x intercepts of the equation y = x2 – x – 12.
[Ans: x = 4, x = -3]
10. A construction crane has been hired on the following rates. They are $500 for per day and $ 275 for every hour of usage. The expense on this cannot exceed $2975 per day. So, find the maximum number of hours that the crane can be utilized in day.
[Ans: 9 hours]
In the whole unit test of algebra 1, we can have questions from the following topics:
I. Arithmetic:
(i) Integers
(ii) Fractions
(iii) Decimals
(iv) Real numbers
II. Algebra:
(i) Basic Laws
(ii) Inequalities
(iii) Exponents
(iv) Polynomials
(v) Rational functions
(vi) Simultaneous equations
III. Arithmetic and geometric progression
IV. Analytical Geometry
V Permutations and combinations
Let’s see few questions on these topics where the pattern of the questions can be expected in the whole unit test.
Questions on algebra 1 whole for unit test:
1. Jasmine has to mix two same fruit juices of different percentage of pure fruit juice in it. One juice has 25% another juice of 2 liters with 10% in it. The final mixture need to have 15% fruit juice in it. How many liters of 25% percent juice needed to make a mixture of 15% fruit juice in it?
[Ans: 1 liter]
2. Can this given relation { ( 1,2), (3, 4) , ( 5, 6) , ( 7, 9)} be a function?
[ Ans: Yes it is a function]
3. From an airport, two airplanes started leaving in the opposite directions. They were traveling at a speed of 400 miles per hour and the other at a speed of 250 miles per hour. How long will it take for them to have a distance 1625 miles between them?
[Ans: 2.5 hours]
4. A pipe can fill a water tank in 20 minutes. Another pipe can fill the same tank in 30 minutes. How long will take to fill the tank if both the pipes are on?
[12 minutes]
5. Simplify the fraction `[[3x]/5]/[x/10+[3x]/5]` .
[Ans: `6/7` ]
More questions on algebra 1 for whole unit test:
6. Divide `[[x^2 + 8x +16]/[x + 3]] ` by `[[2x + 8]/[x^2 - 9]]` .
[Ans: [`[[(x+4)(x-3)]]/2` ]
7. The area of a triangle is 168 square centimeters. The height of the triangle is 4 centimeter more than twice its base. Find the length of the base of the triangle.
[Ans: 12 cm]
8. The equation of a curve is given by y = 2x2 – 2x + 5. How many times will cross the x axis?
[Ans: Never crosses the axis]
9. Find the x intercepts of the equation y = x2 – x – 12.
[Ans: x = 4, x = -3]
10. A construction crane has been hired on the following rates. They are $500 for per day and $ 275 for every hour of usage. The expense on this cannot exceed $2975 per day. So, find the maximum number of hours that the crane can be utilized in day.
[Ans: 9 hours]