Equations with One Variable (Upload) ~ Smart Edition Academy

Solve the equation for c.

\( 2a \left( b+c \right) =c \)

\( \frac{2ab}{1-2a}=c \)
\( \frac{2ab}{1+2a}=c \)
\( \frac{2ab}{2a}=c \)
\( \frac{2ab}{a}=c \)

Solve the inequality for the unknown.

\(\frac{1}{2} \left( 4x+3 \right) <\frac{3}{4}x+2\)

x < ⅖
x > ⅖
x < ⁶⁄₅
x > ⁶⁄₅

Solve the equation for the unknown.

\(\frac{w}{2}=-6\)

-12
-8
-4
-3

Solve the equation for the unknown.

\(\frac{x}{-2}-3=5\)

-16
-8
8
16

Solve the equation for the unknown.

\(\frac{2}{3}x+2=-\frac{1}{2}x+2 \left( x+1 \right)\)

0
1
2
3

Solve for x.

-14 + 7x = 56

10
6
8
12

Solve for the variable.

18 – 3y = -18

12
0
-12
8

Solve for x.

9x + 17 = 62

5
8
9
7

Solve the equation for the unknown.

\(\frac{1}{2}x+3=\frac{1}{4}x-2\)

-20
-10
10
20

If m = 3 and n = 6, then solve the following equation.

-m(mn)

-54
-108
54
108

Solve the equation for the unknown.

\(3 \left( x+4 \right) -1=2 \left( x+3 \right) -2 \)

-7
-2
2
7

Evaluate the expression when c = 5 and d = -3.

c(cd)

-75
10
45
-10

Solve the equation for the unknown.

\( \frac{x}{4}+8=6 \)

-8
-2
2
8

Solve for x.

6x – 14 = 58

8
12
7
13

Solve the equation for the unknown.

\( \frac{3}{4} \left( x+3 \right) -2=3-\frac{2}{3} \left( x+1 \right) \)

\( \frac{6}{5}\)
\( \frac{25}{17}\)
\( \frac{8}{5}\)
\(\frac{28}{17}\)

Solve the inequality for the unknown.

\( \frac{2}{3}x-4 \leq \frac{4}{5}x+2 \)

\( x \leq -45 \)
\( x \geq -45 \)
\( x \leq 90 \)
\( x \geq 90 \)

Solve the inequality for the unknown.

\(~3 \left( 4x-1 \right) >5 \left( 2x+3 \right)\)

\(x>2\)
\(x>9\)
\(x>10\)
\(x>18\)

Solve the equation for the unknown.

\(2 \left( 4x+1 \right) -5=3- \left( 4x-3 \right)\)

\(\frac{1}{4}\)
\(\frac{3}{4}\)
\(\frac{4}{3}\)
4

Solve the equation for the unknown w.

P=2l+2w

2P-2l=w
\(\frac{P-2l}{2}=w\)
2P+2l=w
\(\frac{P+2l}{2}=w\)

Solve for the variable.

\( \frac{121}{z} – 12 = -1\)

9
11
12
-11

Evaluate the expression when g = -2 and h = 4.

5g + 3h

12
2
20
14

Solve the equation for the unknown.

\(a-10=-20\)

-30
-10
2
200

Solve the equation for the unknown.

6x – 12 = -24

-4
-2
2
4

Solve the equation for the unknown.

\( b+5=-15 \)

-75
-20
-10
-3

If m = 5 and n = -1, then solve the following equation.

\( nm^{2} \)

-10
-25
10
25

Solve for x.

13 + 8x = -27

5
-5
-1 ¾
1 ¾

Solve the equation for the unknown.

\(-6d=36\)

-216
-6
30
42

Solve the equation for the unknown.

\(\frac{1}{3} \left( 3x+2 \right) +3=2x+3 \)

-4
\(-\frac{2}{3}\)
\(\frac{2}{3}\)
4

Solve the equation for the unknown.

\(3x+8=12\)

\(\frac{3}{4}\)
1
\(\frac{4}{3}\)
2

Solve the equation for the unknown.

\( 4x+3=8 \)

-2
\( -\frac{5}{4} \)
\( \frac{5}{4} \)
2

Solve the inequality for the unknown.

\( \frac{1}{4} \left( 3-x \right) +x+1<\frac{1}{2} \left( 2-x \right) \)

x < -1
x > – 1
x < -⅗
x > -⅗

Solve the inequality for the unknown.

\( 2 \left( 3x-1 \right) +5 \geq 3x-4-4x \)

\( x\geq-7 \)
\( x\geq-4 \)
\(x\geq-1 \)
\( x\geq0 \)

Solve the equation for the unknown x.

\(y=mx+b\)

\(y-bm=x\)
\(y+bm=x\)
\(\frac{y-b}{m}=x\)
\(\frac{y+b}{m}=x\)

Evaluate the expression when a = 2 and b = 6.

4ab – 6b

36
-96
12
252

Solve the equation for the unknown.

\(\frac{x}{2}+5=8\)

\(\frac{3}{2}\)
\(\frac{5}{2}\)
6
26

Solve for x.

12 – 7x = -30

-6
2
6
-2

Solve for x.

15x + 30 = 150

6
10
8
12

If s = -4 and t = 2, then solve the following equation.

\( \frac{st}{-2} – s\)

0
6
8
-1

Solve for the variable.

\( \frac{63}{a} + 3 = 10 \)

5
7
9
6

Solve for x.

15 + 4x = 3

3
4.5
-3
-4.5

Solve the equation for the unknown.

\(2 \left( x-4 \right) =5 \left( x+2 \right)\)

-24
-12
-6
-2

Solve the equation for the unknown.

\(3x-8+5+2x=4x-x+6\)

\(-\frac{9}{2}\)
\( -\frac{2}{9}\)
\(\frac{2}{9}\)
\( \frac{9}{2}\)

Solve the equation for P.

\( A=P+Prt \)

\( A \left( 1+rt \right) =P \)
\( Art=P \)
\( Art+1=P \)
\( \frac{A}{1+rt}=P \)

Solve the inequality for the unknown.

\(\frac{1}{2} \left( 2x-3 \right) \geq \frac{1}{4} \left( 2x+1 \right) -2 \)

\(x>-7\)
\(x>-3\)
\(x \geq -\frac{3}{2}\)
\(x \geq -\frac{1}{2}\)

Solve the inequality for the unknown.

\( 3 \left( x+1 \right) +2 \left( x+1 \right) \geq 5 \left( 3-x \right) +4 \left( x+2 \right) \)

\( x \geq 0 \)
\( x \geq 1 \)
\( x \geq 2 \)
\( x \geq 3 \)

Solve the inequality for the unknown.

\(3 \left( 2+x \right) <2 \left( 3x-1 \right)\)

x < -⁸⁄₃
x > -⁸⁄₃
x < ⁸⁄₃
x > ⁸⁄₃

Solve the equation for the unknown y.

\(Ax+By=C\)

\(y=C+Ax\)
\(y=C-Ax\)
\(y=\frac{C+Ax}{B}\)
\(y=\frac{C-Ax}{B}\)

Solve the inequality for the unknown.

\( \frac{1}{4}x-\frac{1}{3} \left( x+2 \right) \leq \frac{1}{12} \left( 2x+3 \right) +x-1 \)

\( x \leq -\frac{1}{15} \)
\( x \geq -\frac{1}{15} \)
\(x \leq \frac{1}{15} \)
\( x \geq \frac{1}{15} \)

Solve the equation for the unknown for x.

\( y-y_{1}=m \left( x-x_{1} \right)\)

\(y-y_{1}+mx_{1}\)
\(my-my_{1}+mx_{1}\)
\(\frac{y-y_{1}+x_{1}}{m}\)
\( \frac{y-y_{1}+mx_{1}}{m}\)

If q = -2 and s = 3, then solve the following equation.

q(qs)

-12
2
-18
12

Solve the equation for the unknown.

\(-x-15=-17\)

-2
-1
1
2

Solve the equation for the unknown.

\( 3 \left( 2x+1 \right) -3 \left( x-4 \right) =4 \left( 2x-1 \right) -1 \)

-4
-1
1
4

Solve for the variable.

8n + 16 = 48

6
8
12
4

Evaluate the expression when y = -1 and z = -3.

\( \frac{yz}{3}-z \)

-1
0
-4
4

Solve the equation for the unknown.

\(\frac{c}{-4}=-12\)

-16
-8
3
48

Solve for x.

9 – 4x = -15

-1.5
1.5
-6
6

Equations with One Variable (Upload)

Test Section Summary

Information

Results

Results

Categories

1. Question

2. Question

3. Question

4. Question

5. Question

6. Question

7. Question

8. Question

9. Question

10. Question

11. Question

12. Question

13. Question

14. Question

15. Question

16. Question

17. Question

18. Question

19. Question

20. Question

21. Question

22. Question

23. Question

24. Question

25. Question

26. Question

27. Question

28. Question

29. Question

30. Question

31. Question

32. Question

33. Question

34. Question

35. Question

36. Question

37. Question

38. Question

39. Question

40. Question

41. Question

42. Question

43. Question

44. Question

45. Question

46. Question

47. Question

48. Question

49. Question

50. Question

51. Question

52. Question

53. Question

54. Question

55. Question

56. Question