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Worksheets

Summative Test

Total questions: 25

Worksheet time: 4hrs 1mins

Name
Class
Date
1.

1. Solve the given equation.

2(4x+3)(x7)=46-2\left(4x+3\right)-\left(x-7\right)=46  

a)

x=15x=-15  

b)

x=5x=-5  

c)

x=5x=5  

d)

x=15x=15  

2.

2. Solve the given equation.

43(12k+27)=579k-\frac{4}{3}\left(12k+27\right)=-57-9k  

a)

k=23k=-23  

b)

k=13k=-13  

c)

k=3k=-3  

d)

k=3k=3  

3.

3. Solve the given equation.

232(5a+9)=5(2a11)23-2\left(5a+9\right)=5\left(2a-11\right)  

a)

a=3a=-3  

b)

a=13a=-\frac{1}{3}  

c)

a=13a=\frac{1}{3}  

d)

a=3a=3  

4.

4. Solve the given equation.

52(6w16)=18w(3w+40)\frac{5}{2}\left(6w-16\right)=18w-\left(3w+40\right)  

a)

w=w=-\infty  

b)

w=0w=0  

c)

w=w=\infty  

d)

No answerNo\ answer  

5.

5. Solve the given equation.

10a6=56\frac{10}{a-6}=\frac{5}{6}  

a)

a=18a=-18  

b)

a=8a=-8  

c)

a=8a=8  

d)

a=18a=18  

6.

6. Solve the equation.

g8=g110\frac{g}{8}=\frac{g-1}{10}  

a)

g=14g=-14  

b)

g=4g=-4  

c)

g=4g=4  

d)

g=14g=14  

7.

7. Solve the equation.

z96=z+73\frac{z-9}{6}=\frac{z+7}{3}  

a)

z=33z=-33  

b)

z=23z=-23  

c)

z=13z=-13  

d)

z=3z=-3  

8.

8. Solve the given equation.

52=4x+21x3\frac{5}{2}=\frac{4x+21}{x-3}  

a)

x=27x=-27  

b)

x=23x=-23  

c)

x=19x=-19  

d)

x=15x=-15  

9.

9. Solve the given equation.

x=14\left|x\right|=14  

a)

x={7,7}x=\left\{-7,7\right\}  

b)

x={14, 14}x=\left\{-14,\ 14\right\}

c)

x={21, 21}x=\left\{-21,\ 21\right\}

d)

x={28, 28}x=\left\{-28,\ 28\right\}

10.

10. Solve the given equation.

8m8=40\left|8m-8\right|=40  

a)

m={4, 6}m=\left\{-4,\ -6\right\}

b)

m={4, 6}m=\left\{4,\ -6\right\}  

c)

m={4, 6}m=\left\{-4,\ 6\right\}  

d)

m={4, 6}m=\left\{4,\ 6\right\}  

11.

11. Solve the given equation.

m7+4=5\left|\frac{m}{7}\right|+4=5  

a)

m={7, 7}m=\left\{-7,\ -7\right\}

b)

m={7, 7}m=\left\{-7,\ 7\right\}  

c)

m={7, 7}m=\left\{-7,\ 7\right\}

d)

m={7,7}m=\left\{7,7\right\}  

12.

12. Solve the given equation.

54p+4=40-5\left|4p+4\right|=-40  

a)

p={3,1}p=\left\{-3,-1\right\}  

b)

p={3,1}p=\left\{3,-1\right\}  

c)

p{3,1}p\left\{-3,1\right\}  

d)

p={3,1}p=\left\{3,1\right\}  

13.

13. Solve the given equation.

a=vt for va=\frac{v}{t}\ for\ v  

a)

a=vta=\frac{v}{t}  

b)

av=tav=t  

c)

t=avt=\frac{a}{v}  

d)

at=vat=v  

14.

14. Solve

8=14(mn) for m-8=\frac{1}{4}\left(m-n\right)\ for\ m  

a)

32+n=m-32+n=m  

b)

32n=m-32n=m  

c)

32+n=m32+n=m  

d)

32n=m32n=m  

15.

15. Solve

a2+b2=c2 for ba^2+b^2=c^2\ for\ b  

a)

b=±c2a2b=\pm\sqrt[]{c^2-a^2}

b)

b=±c2+a2b=\pm\sqrt[]{c^2+a^2}

c)

b=c2a2b=c^2-a^2  

d)

b=c2+a2b=c^2+a^2  

16.

16. Solve

S=2πr(h+r) for hS=2\pi r\left(h+r\right)\ for\ h  

a)

S2πr+r=h\frac{S}{2\pi r}+r=h  

b)

S2πrr=h\frac{S}{2\pi r}-r=h  

c)

r2πs+r=h\frac{r}{2\pi s}+r=h  

d)

S2πr+s=h\frac{S}{2\pi r}+s=h  

17.

Use the 3-step process to solve the problem.

17. The larger of two numbers is two more than five times the smaller number. If the sum of the two numbers is 80, find both numbers.

a)

20, 60

b)

15, 55

c)

13, 67

d)

21, 59

18.

Use the 3-step process to solve the problem.

18. Find the three consecutive odd integers such that the sum of the smallest number and the middle number is 27 less than 3 times the largest number.

a)

13, 15, 17

b)

15, 17, 19

c)

17, 19, 21

d)

19, 21, 23

19.

Use the 3-step process to solve the problem.

19. The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. Find the dimensions of the rectangle.

a)

5m and 6m

b)

6m and 7m

c)

7m and 8m

d)

9m and 10m

20.

Use the 3-step process to solve the problem.

20. Find two consecutive numbers whose sum is 115.

a)

56, 57

b)

57, 58

c)

58, 59

d)

59, 60

21.

Use the 3-step process to solve the problem.

21. Find two consecutive ODD numbers whose sum is 144.

a)

69, 71

b)

71, 73

c)

73, 75

d)

77, 79

22.

Use the 3-step process to solve the problem.

22. Find two consecutive EVEN numbers whose sum is 126.

a)

60, 62

b)

62, 64

c)

64, 66

d)

66, 68

23.

Use the 3-step process to solve the problem.

23. Find three consecutive numbers whose sum is 84.

a)

21, 22, 23

b)

25, 26, 27

c)

27, 28, 29

d)

30, 31, 32

24.

Use the 3-step process to solve the problem.

24. Find three consecutive EVEN integers such that the sum of the smallest number and twice the middle number is 20 more than the largest number.

a)

8, 10, 12

b)

10, 12, 14

c)

14, 16, 18

d)

18, 20, 22

25.

Use the 3-step process to solve the problem.

25. The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers.

a)

33, 41

b)

23, 31

c)

21, 43

d)

31, 43