(a) Form expressions using $ t $ and 4 . Use not more than one number operation. Every expression must have $ t $ in it.
(b) Form expressions using $ y, 2 $ and 7. Every expression must have $ y $ in it. Use only two number operations. These should be different.
To do:
We have to form expressions using the given details.
Solutions:
(a) $(t + 4), (t - 4), 4t, (4 - t), (4 + t), (\frac{t}{4}), (\frac{4}{t})$ are the expressions using $t$ and $4$.
(b) $2y + 7, 2y - 7, 7y + 2, 7y-2$ are few expressions using $y, 2$ and $7$
Related Articles
- Make up as many expressions with numbers (no variables) as you can from three numbers 5,7 and 8 . Every number should be used not more than once. Use only addition, subtraction and multiplication.(Hint : Three possible expressions are \( 5+(8-7), 5-(8-7),(5 \times 8)+7 \); make the other expressions.)
- Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.(i) \( 4 x^{2}-3 x+7 \)(ii) \( y^{2}+\sqrt{2} \)(iii) \( 3 \sqrt{t}+t \sqrt{2} \)(iv) \( y+\frac{2}{y} \)(v) \( x^{10}+y^{3}+t^{50} \)
- Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.$( i).\ 4x^{2}-3x+7$$( ii).\ y^{2}+\sqrt{2}$$( iii).\ 3\sqrt{t}+t\sqrt{2}$$( iv).\ x^{10}+y^{3}+t^{10}$$( v).\ y+\frac{2}{y}$
- Use exponents to rewrite the following expression in simplified form. a. \( 2^{3} \times 2^{4} \)b. \( 6 \times 6^{3} \)c. \( Y \times Y \times Y^{3} \)
- Identify the operations (addition, subtraction, division, multiplication) in forming the following expressions and tell how the expressions have been formed.(a) \( z+1, z-1, y+17, y-17 \)(b) \( 17 y, \frac{y}{17}, 5 z \)(c) \( 2 y+17,2 y-17 \)(d) \( 7 m,-7 m+3,-7 m-3 \)
- Which of the following statements are true?(i) If a number is divisible by 3, it must be divisible by 9.(ii) If a number is divisible by 9, it must be divisible by 3.(iii) If a number is divisible by 4, it must be divisible by 8.(iv) If a number is divisible by 8, it must be divisible by 4.(v) A number is divisible by 18, if it is divisible by both 3 and 6.(vi) If a number is divisible by both 9 and 10, it must be divisible by 90.(vii) If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.(viii) If a number divides three numbers exactly, it must divide their sum exactly.(ix) If two numbers are co-prime, at least one of them must be a prime number.(x) The sum of two consecutive odd numbers is always divisible by 4.
- Form algebraic expression The numbers x and y both squared and added
- Which of the following statements are true?(a) If a number is divisible by 3, it must be divisible by 9.(b) If a number is divisible by 9, it must be divisible by 3.(c) A number is divisible by 18, if it is divisible by both 3 and 6.(d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.(e) If two numbers are co-primes, at least one of them must be prime.(f) All numbers which are divisible by 4 must also be divisible by 8.(g) All numbers which are divisible by 8 must also be divisible by 4.(h) If a number exactly divides two numbers separately, it must exactly divide their sum.(i) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.
- Form the smallest number using at most one swap operation in C++
- Use the number line and write the number which is: (a) 3 more than 4 (b) 5 less than 1
- Regular expression for a hexadecimal number greater than 10 and should be even in length in java.
- Using the number line represent -2 more than -4.
- Factorize the expression $(x+y)^2-(a-b)^2$.
- What must be added to each of the following expressions to make it a whole square(i) $4x^2 - 12x + 7$(ii) $4x^2 - 20x + 20$
- Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:$x^{12}+y^{3}+t^{50}$
Kickstart Your Career
Get certified by completing the course
Get Started