Algebra practice questions with real-life solution


Assignment:

Q1. Solve then graph
5x≥30
{x|x>6}
{x|x≥6}
{x|x<6}
{x|x≤6}

Q2.  Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 100 miles per hour. Train A passes a station at 3:5 a.m. If Train B passes the same station at 3:30 a.m., at what time will train B catch up to train A.
When will train B catch up with train A?  ____:_____ am or pm

Q3. Simplify
2[70-(9-80)]

Q4. Translate to an algebraic expression.
The product of 33% and some number
The translation is _______(use the percentage as a decimal use d to represent some number)

Q5. Solve by the elimination method
7r-6s=2
6r
7s=111
What is the solution of the system

Q6. The equation y=1777x+27,153 can be used to predict the number y of gun deaths in the united states x years after 2000, that is x=0 corresponds to 2000,x=3 corresponds to 2006 and 2009. In what year will the number of gun deaths be 7606
The predicted gun deaths in 2006 will be__?__
The predicted gun deaths in 2009 will be __?___
The predicted number of gun deaths will be 7606 in what year ___?__

Q7. Evaluate
z=y/9  for z=70 and y=20
z+y/9=__?__ simplify your answer

Q8. Solve  Type an inequality
-0.7x<-49
The solution is {x|___?}

Q9. Solve the following system of equations
X+4y=6  (1)
X=7-4y (2)
What is the solution of the system type an ordered pair

Q10. In 1995 the life expectancy of males in a certain country was 66.9 years. IN 2000, it was 70.6 years. Let E represent the life expectancy in year t and let t represent the number of years since 1995.
The linear function E(t) that fits the data is
E(t)=__?__t+__?__  ( round to the nearest tenth)
Us the function to predict the life expectancy of males in 2008.
E(13)=__?__ ( round to the nearest tenth)

Q11. Solve then graph
y-5>-20
the solution is {y|y>__?__}

Q12. Find the slope and the y-intercept
f(x)=-10x-8
the slope is __?__
the y-intercept is (0,__?__)

Q13. Determine whether (-7,0) is a solution of 2x+3y=-1
Is (-7,0) a solution to the equation? Yes or no

Q14. Collect like terms
10m+5n-6m-7n=__?__

Q15. Find the slope if it exists, of the line containing the pair of points
(1,2) and (9,-4)  The slope m=__?__ ( simplify your answer use an integer or a fraction )

Q16. 20% of what number is 10? __?__

Q17. Solve
0.8x+5≤1.6x-2
The solution is {x|x__?__   __?_}  ( simplify your answer type an inequality symbol then an integer or a decimal)

Q18. Solve using the addition and multiplication principles
1+4x<9 
The solution set is {x|x__?__   __?__}     (Type an inequality symbol then type an integer or a fraction )

Q19. Solve -17≤3x-6≤-1
The solution is {x|__?__≤x≤__?__}

Q20. The length of a rectangle is fixed at 24cm. what widths will make the perimeter greater than 82cm?
The with must be greater than __?__cm

Q21. Solve by the substitution method
9x+5y=-58
x=-5-2y
what is the solution of the system?  ( Type an ordered pair )

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Algebra practice questions with real-life solution
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